Phán tích thành nhân tử:
x3 + y3 + z3 - 3xyz
Giúp e vs e sắp nộp bài rồi
K
Khách
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MH
26 tháng 11 2021
\(x^3-y^3+2x^2+2xy\)
\(=x\left(x^2-y^2+2x+2y\right)\)
\(=\)\(x\left[\left(x+y\right)\left(x-y\right)+2\left(x+y\right)\right]\)
\(=x\left(x+y\right)\left(x-y+2\right)\)
AH
Akai Haruma
Giáo viên
4 tháng 2 2023
Câu 1:
$x^2+4y^2+4xy-16=[x^2+(2y)^2+2.x.2y]-16$
$=(x+2y)^2-4^2=(x+2y-4)(x+2y+4)$
Câu 2:
$x^3+x^2+y^3+xy=(x^3+y^3)+(x^2+xy)$
$=(x+y)(x^2-xy+y^2)+x(x+y)=(x+y)(x^2-xy+y^2+x)$
PL
4 tháng 2 2023
Câu 1:
\(x^2+4y^2+4xy-16\)
\(=\left(x+2y\right)^2-16\)
\(=\left(x+2y+4\right)\left(x+2y-4\right)\)
Câu 2:
\(x^3+x^2+y^3+xy\)
\(=\left(x^3+y^3\right)\left(x^2+xy\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2\right)+x\left(x+y\right)\)
\(=\left(x+y\right)\left(x^2-xy+y^2+x\right)\)
PT
1
CM
24 tháng 12 2018
x + y + z 3 - z 3 - y 3 - z 3 = ( x + y ) + z 3 – x 3 – y 3 – z 3 = ( x + y ) 3 + 3 ( x + y ) 2 z + 3 ( x + y ) z 2 + z 3 – x 3 – y 3 – z 3 = x 3 + y 3 + 3 x y ( x + y ) + 3 ( x + y ) 2 z + 3 ( x + y ) z 2 – x 3 – y 3 ( v ì z 3 – z 3 = 0 ; 3 x 2 y + 3 x y 2 = 3 x y ( x + y ) ) = 3 x y . ( x + y ) + 3 ( x + y ) 2 . z + 3 ( x + y ) . z 2 = 3 ( x + y ) [ x y + ( x + y ) z + z 2 ] = 3 ( x + y ) [ x y + x z + y z + z 2 ] = 3 ( x + y ) [ x ( y + z ) + z ( y + z ) ] = 3 ( x + y ) ( y + z ) ( x + z )
CM
11 tháng 12 2017
x 3 + y 3 + z 3 – 3xyz = x + y 3 – 3xy(x + y) + z 3 – 3xyz
= [ x + y 3 + z 3 ] - [ 3xy.(x+ y) + 3xyz]
= [ x + y 3 + z 3 ] – 3xy(x + y + z)
= (x + y + z)[ x + y 2 – (x + y)z + z 2 ] – 3xy(x + y + z)
= (x + y + z)( x 2 + 2xy + y 2 – xz – yz + z 2 – 3xy)
= (x + y + z)( x 2 + y 2 + z 2 – xy – xz - yz)
giúp e nhé, e sắp nộp bài rồi nhe
MA
6 tháng 2 2022
a) `-3/5 + (-7)/24 + 19/24`
`= -3/5 + ( -7/24 + 19/24)`
`= -3/5 + 1/2`
`= -6/10 + 5/10`
`=-1/10`
b) `-5/9. 2/13 + (-5/9) . 11/13 + 1 5/9`
`= -5/9 ( 2/13 + 11/13) + 1 + 5/9`
`= -5/9 . 1 + 1 + 5/9`
`=-5/9 + 5/9 +1`
`= 1`
c) `(-5/24 + 0,75 + 7/12) : (-2 1/8)`
`= (-5/24 + 18/24 + 14/24) : (-17/8)`
`= 9/8 . (-8/17)`
`=-9/17`
PT
7
HN
18 tháng 6 2019
\(\frac{x+2}{5}=\frac{3x-4}{-3}\)
\(\Rightarrow\left(x+2\right).\left(-3\right)=\left(3x-4\right).5\)
\(\Rightarrow-3x-6=15x-20\)
Từ đây chuyển vế đổi dấu là xong nhé!
18 tháng 6 2019
x+2/5=3x-4/-3
<=> (x+2).3=(3x-4).-3 (nhân chéo 2 vế)
<=> 3x+6=-9x+12
<=>12x=6
<=>x=6/12=1/2
vậy x=1/2
học tốt
11 tháng 9 2023
Bài 5:
1. There are a few students taking part in the event
→ There aren't many students taking part in the event.
2. If he doesn't work hard, he will lose his job
→ Unless he works hard, he will lose his job.
3. Let's write about the three Rs ?
→ Why don't we write about the three Rs?
4. Learning about recyking is fun
→ It's fun to learn about recycling.
5. It's not good to throw old clothes away
→ You shouldn't throw old clothes away
Xếp từ thành câu
Bài 1
1. they / to / movies / do / how / go / the / often ?
→ How often do they go to the movies?
2. your eyes / swimming / should / when goggles / you / you / go / wear / to protect
→ When you go swimming, you should wear goggles to protect your eyes.
3. usually / his / swimming / with / friends / he / goes
→ He usually goes swimming with his friends.
4. go / do / weekend / on / always / fishing / parents / their ?
→ Do their parents always go fishing on the weekend?
5. camping / they / go / do / sometimes
→ Sometimes they go camping.
6. what / TV / you / do / on / sports / watch?
→ What sports do you watch on TV?
Bài 2
1. Our / important / an / sports and games / in play / lives / part
→ Sports and games play an important part in our lives.
2. players / how / match / there / in / many / are / football / a ?
→ How many players are there in a football match?
3. by / she / to keep / every day / tries / fit / jogging
→ She tries to keep fit by jogging every day.
4. yesterday / who / play / football / you / did / with ?
→ Who did you play football with yesterday?
5. sports / building / physical and strength / necessary / are / for
→ Sports are necessary for building physical strength.
6. to switch / before / go / don't / the TV / off / you / forget / to bed
→ Don't forget to switch off the TV before you go to bed.
7. Sunday / I / usually / friends / swimming / on / go / mornings / with / my
→ On Sunday mornings, I usually go swimming with my friends.
8. match / you / on / the / did / television / last night / watch / basketball / the ?
→ Did you watch the basketball match on television last night?
20 tháng 8 2023
\(8x^3+12x^2y+6xy^2+y^3-z^3\)
\(=\left(2x+y\right)^3-z^3\)
\(=\left(2x+y-z\right)\left[4x^2+z\left(2x+y\right)+z^2\right]\)
20 tháng 8 2023
a, 8a3 - 36a2 +54ab2 - 27b3
=(8a3-36a2b +54ab2 - 27b3)
=(2a-3b)2
=(2a-3b)(2a-3b)(2a-3b)
b, 8x3 + 12x2y + 6xy2 + y3 - z 3
=(8x3 + 12x2y + 6xy2 + y3) - z3
=(2x + y)3 - y3
=(2x + y +z) . [ (2x + Y)2 + 2(2x + y)+ z2
= (2x + y + z)(4x2 + 4xy + y2 + 4x + 2y + z2
NM
1
(x+y+z)(x²+y²+z²-xy-yz-xz)
Có thể xem trên wikipedia với từ khóa 7 HDT đáng nhớ mục liên quan nhé bạn
\(x^3+y^3+z^3-3xyz\)
\(=x^3+y^3+z^3-xyz-xyz-xyz\)
\(=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-xz\right)\)