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18 tháng 5 2017

a-b=5

<=>(a-b)2=a2-2ab+b2 =25

<=>a2+b2-2ab =33

<=>a2+b2 = 33 (vì 2ab=8)

Ta có:

a3-b3= (a-b)(a2+ab+b2)

=5.(33+4) =185

19 tháng 11 2016

Evaluate the expression ?$x^3+12x+48x+64$ at ?$x=-4$

x3 + 12x + 48x + 64

= (x + 4)2

= (- 4 + 4)2

= 02

= 0

Fill in the blank: ?$x^3-$............?$=(x-2)(x^2+2x+4)$

x3 - a = (x - 2)(x2 + 2x + 4)

x3 - a = x3 - 8

a = 8

Fill in the blank: ?$(x-1)^3=x^3-3x^2+$?$x-1$
(x - 1)3
= x3 - 3x2 + 3x - 1
 
Fill in the blank: ?$(x+1)^3=x^3+$?$x^2+3x+1$
(x + 1)3
= x3 + 3x2 + 3x + 1

Evaluate ?$(a-b)^2$, given ?$a+b=8$ and ?$ab=10$.
Answer: ?$(a-b)^2=$

a + b = 8

(a + b)2 = 82

a2 + b2 + 2ab = 64

a2 + b2 + 2 . 10 = 64

a2 + b2 + 20 = 64

a2 + b2 = 64 - 20

a2 + b2 = 44

(a - b)2

= a2 - 2ab + b2

= 44 - 2 . 10

= 44 - 20

= 24
Given ?$A=(x-5)(x^2+5x+25)-x^2(x+3)+3x^2$.
Evaluate A at ?$x=1000$.
Answer: A?$=$

A = (x - 5)(x2 + 5x + 25) - x2(x + 3) + 3x2

= x3 - 125 - x3 - 3x2 + 3x2

= - 125

Given ?$A=(x-5)(2x+1)-2x(x-3)+3x$.
Evaluate A at ?$x=100$.
Answer: A?$=$

A = (x - 5)(2x + 1) - 2x(x - 3) + 3x
= 2x2 + x - 10x - 5 - 2x2 + 6x + 3x
= - 5
Given a rectangle with dimension ?$(2x+y)$ by ?$(2x-y)$. Find the area of the rectangle when ?$x=\sqrt{10}m$ and ?$y=1m$.
Answer: ?$m^2$.
 
Given ?$ab=4$ and ?$a-b=5$. Evaluate ?$a^3-b^3$.
Answer: ?$a^3-b^3=$
a - b = 5
(a - b)2 = 52
a2 - 2ab + b2 = 25
a2 + b2 - 2 . 4 = 25
a2 + b2 - 8 = 25
a2 + b2 = 25 + 8
a2 + b2 = 33
a3 - b3
= (a - b)(a2 + ab + b2)
= 5 . (33 + 4)
= 5 . 37
= 185

Given ?$ab=4$ and ?$a+b=5$. Evaluate ?$a^3+b^3$.
Answer: ?$a^3+b^3=$
a + b = 5
(a + b)2 = 52
a2 + 2ab + b2 = 25
a2 + b2 + 2 . 4 = 25
a2 + b2 + 8 = 25
a2 + b2 = 25 - 8
a2 + b2 = 17
a3 + b3
= (a + b)(a2 - ab + b2)
= 5 . (17 - 4)
= 5 . 13
= 65
Bài thi số 3 19:25 Câu 1: A man drove a car from A to B at speed 60km/h. After arriving B, he took a rest for 30 minutes then turned back to A at speed 40km/h. Known that he started from A at 7:00 am and he reached A again at 3:15pm on the same day. The distance between A and B is km. Câu 2: The minimum of the expression is Câu 3: Given that is a positive integer such that and are perfect squares. The sum of such integers is Câu 4: Given two...
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Bài thi số 3

19:25
Câu 1:
A man drove a car from A to B at speed 60km/h. After arriving B, he took a rest for 30 minutes then turned back to A at speed 40km/h. Known that he started from A at 7:00 am and he reached A again at 3:15pm on the same day. The distance between A and B is km.
Câu 2:
The minimum of the expression is
Câu 3:
Given that is a positive integer such that and are perfect squares.
The sum of such integers is
Câu 4:
Given two triangles and . Known that , and .
If then
Câu 5:
How many real numbers are there such that ?
Answer: There are numbers .
Câu 6:
The operation on two numbers produces a number equal to their sum minus 2.The value of is
Câu 7:
ABC is a triangle. AM is the bisector of angle CAB. Given that AM = 4cm, AB = 6m and AC = 12cm.Then the measurement of angle BAC is degrees.
Câu 8:
In the equation above, where is a constant.The greatest possible value of such that the equation has at least one solution is
Câu 9:
and are positive integers such that , where is a prime number.
The number of pairs is
Câu 10:
Given that .
Calculate:
=
(Input the answer as a decimal in its simplest form)
Nộp bài
7
10 tháng 4 2017

câu 7 mk bấm nhầm đáp án là 120

qua B kẻ đường thẳng song song với AM cắt AC ở N.

vì AM là phân giác góc BAC nên có :

\(\dfrac{AC}{AB}=\dfrac{CM}{BM}=\dfrac{12}{6}=2\) suy ra \(\dfrac{CM}{BC}=\dfrac{CM}{CM+BM}=\dfrac{12}{12+6}=\dfrac{2}{3}\)

vì AM song song với BN nên có :

1,\(\dfrac{CA}{AN}=\dfrac{CM}{BM}=\dfrac{12}{AN}=2\) suy ra AN=6

2,\(\dfrac{AM}{BN}=\dfrac{CM}{BC}=\dfrac{2}{3}=\dfrac{4}{BN}\)suy ra BN=6

vì AB=6 nên tam giác ABN đều

suy ra \(\widehat{NAB}\)=\(60^0\)

\(\widehat{NAB}+\widehat{BAC}=\)\(180^0\)

nên \(\widehat{BAC}=\)\(120^0\)

7 tháng 4 2017

bài này bữa mình thi có 50đ à hehe

7 tháng 7 2017

Hỏi gì mà nhiều thế??????????/

19 tháng 2 2017

B = 20152015 . 20152017

= (20152016 - 1) (20152016 + 1)

= 201520162 - 1

mà A = 201520162

=> B < A

19 tháng 2 2017

A > B

7 tháng 7 2017

Ta có : \(3^{x+2}=81\)

\(\Rightarrow3^x.9=81\)

\(\Rightarrow3^x=9\)

\(\Rightarrow3^x=3^2\)

=> x = 2

13 tháng 12 2017

\(MD^{^2}=4\)

10 tháng 7 2016

khó oa bạn

2 tháng 3 2017

Câu 7:

Ta có: \(\left(x-3\right)^2\ge0\)

\(\Rightarrow A=\left(x-3\right)^2=21\ge21\)

Dấu " = " khi \(\left(x-3\right)^2=0\Rightarrow x-3=0\Rightarrow x=3\)

Vậy \(MIN_A=21\) khi x = 3

Câu 10:

\(A=4x^2+4x+11\\ =\left[\left(2x\right)^2+2.2x.1+1\right]+10\\ =\left(2x+1\right)^2+10\ge10\left(\forall x\in Z\right)\)

Vậy: \(Min_A=10\) khi \(x=-\frac{1}{2}\)

17 tháng 3 2017

1:27

2:5

3:7

4:8000

5:68

6:110

7:13

8:???

9;???

10:4

có câu sai nhan bạn

17 tháng 3 2017

8)-7