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a) = x^2 + 2x + 1 - x^2 +2x - 1 -3x^2 +x - x - 1

= - 3x^2 +4x -1

b) =5x^2 + 10x - 10x - 20 - 1/2 .(36 - 96x + 64x^2 ) +17

= 5x^2 - 20 - 18 - 48 x - 32x^2 +17

= -27x^2 - 48x - 3

Chúc bn hok tốt a !

11 tháng 9 2020

\(5\left(x+2\right)\left(x-2\right)-\frac{1}{2}\left(6-8x\right)^2+17\)

\(=5\left(x^2-4\right)-\frac{1}{2}\left(36-96x+64x^2\right)+17\)

\(=5x^2-20+30-32x^2+17=-27x^2+27\)

11 tháng 9 2020

\(\left(x^2-1^3\right)-\left(x^4+x^2+1\right)\left(x^2-1\right)\)

\(=x^2-1-\left(x^6-x^4+x^4-x^2+x^2-1\right)\)

\(=x^2-1-x^6+1=x^2-x^6\)

27 tháng 4 2017

a)\(x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2\)

=\(2x^3-3x-5x^3-x^2+x^2=-3x^3-3x\)

b) \(3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)

\(=3x^2-6x-5x+5x^2-8x^2+24=-11x+24\)

c) \(\dfrac{1}{2}x^2\left(6x-3\right)-x\left(x^2+\dfrac{1}{2}\right)+\dfrac{1}{2}\left(x+4\right)\)

\(=3x^3-\dfrac{3}{2}x^2-x^3-\dfrac{1}{2}x+\dfrac{1}{2}x+2=2x^3-\dfrac{3}{2}x^2+2\)

2 tháng 9 2016

b, 5(x + 2) (x - 2 ) - 1/2 (6-8x)2 + 17

=5x +10 (x - 2) - 1/2 . 6 - 1/2 . 8x +17

=5x + 10x - 20 - 3 - 4x +17

=15x - 17 -4x + 17 

=15x - 4x -17 + 17

=11x - 0 =11x

2 tháng 9 2016

a, (x+1)2 - (x-1)2 - 3(x+1) (x-1)

=(x+1)+(x-1).(x+1)-(x-1) - 3x+3x -3

=2x.0 - 3x

=-3x

7 tháng 6 2016

a

(x+1)-(x-1)-3(x+1)(x-1)

=(x+1)-(x-1)-3x+1.(x-1)

=(x+1)-(x-1)-3x+x-1

=x+1-x+1-3x+x-1

=x-x-3x+x+1+1-1

=-2x

b,

5(x+2)(x-2)-1/2(6-8x)^2+17

=5x+10(x-2)-1/2(36-64x2)+17

=5x+10x-20-18+32x2+17

=5x+10x-20-18+17+32x2

=15x-21+32x2

7 tháng 6 2016

a

(x+1)-(x-1)-3(x+1)(x-1)

=(x+1)-(x-1)-3x+1.(x-1)

=(x+1)-(x-1)-3x+x-1

=x+1-x+1-3x+x-1

=x-x-3x+x+1+1-1

=-2x

b,

5(x+2)(x-2)-1/2(6-8x)^2+17

=5x+10(x-2)-1/2(36-64x2)+17

=5x+10x-20-18+32x2+17

=5x+10x-20-18+17+32x2

=15x-21+32x2

1. tính a) \(\left(\dfrac{2}{3}x-\dfrac{3}{2}y\right)^2\) b) \(\left(\dfrac{1}{2}x^2+\dfrac{1}{3}\right)^2\) c) \(\left(x+\dfrac{1}{5}y^2\right)\left(x-\dfrac{1}{5}y^2\right)\) d) \(\left(\dfrac{1}{2}x-2y\right)^3\) e) \(\left(-\dfrac{1}{2}xy^2+x\right)^3\) f) \(27x^3-8y^3\) g) 4(2x - 3y) - 4 - (2x-3y)2 2. rút gọn a) \(2m\left(5m+2\right)+\left(2m-3\right)\left(3m-1\right)\) b) \(\left(2x+4\right)\left(8x-3\right)-\left(4x+1\right)^2\) c)...
Đọc tiếp

1. tính

a) \(\left(\dfrac{2}{3}x-\dfrac{3}{2}y\right)^2\)

b) \(\left(\dfrac{1}{2}x^2+\dfrac{1}{3}\right)^2\)

c) \(\left(x+\dfrac{1}{5}y^2\right)\left(x-\dfrac{1}{5}y^2\right)\)

d) \(\left(\dfrac{1}{2}x-2y\right)^3\)

e) \(\left(-\dfrac{1}{2}xy^2+x\right)^3\)

f) \(27x^3-8y^3\)

g) 4(2x - 3y) - 4 - (2x-3y)2

2. rút gọn

a) \(2m\left(5m+2\right)+\left(2m-3\right)\left(3m-1\right)\)

b) \(\left(2x+4\right)\left(8x-3\right)-\left(4x+1\right)^2\)

c) \(\left(7y-2\right)^2-\left(7y+1\right)\left(7y-1\right)\)

d) \(\left(a+2\right)^3-a\left(a-3\right)^2\)

3. c/m các biểu thức sau ko phụ thuộc vào biến x,y

a) \(\left(2x-5\right)\left(2x+5\right)-\left(2x-3\right)^2-12x\)

b) \(\left(2y-1\right)^3-2y\left(2y-3\right)^2-6y\left(2y-2\right)\)

c) \(\left(x+3\right)\left(x^2-3x+9\right)-\left(20+x^3\right)\)

d) \(3y\left(-3y-2\right)^2-\left(3y-1\right)\left(9y^2+3y+1\right)-\left(-6y-1\right)^2\)

4. Tìm x

a) \(\left(2x+5\right)\left(2x-7\right)-\left(-4x-3\right)^2=16\)

b) \(\left(8x^2+3\right)\left(8x^2-3\right)-\left(8x^2-1\right)^2=22\)

c) \(49x^2+14x+1=0\)

d) \(\left(x-1\right)^3-x\left(x-2\right)^2-\left(x-2\right)=0\)

5. c/m biểu thức luôn dương:

a) \(A=16x^2+8x+3\)

b) \(B=y^2-5y+8\)

c) C= \(2x^2-2x+2\)

d) \(D=9x^2-6x+25y^2+10y+4\)

6. Tìm GTLN và GTNN của các biểu thức sau

a) \(M=x^2+6x-1\)

b) \(N=10y-5y^2-3\)

7. thu gọn

a) \(\left(2+1\right)\left(2^2+1\right)\left(2^3+1\right)...\left(2^{32}+1\right)-2^{64}\)

b) \(\left(5+3\right)\left(5^2+3^2\right)\left(5^4+3^4\right)...\left(5^{\text{64}}+3^{64}\right)+\dfrac{5^{128}-3^{128}}{2}\)

2
9 tháng 9 2017

Bạn đăng từ từ thôi!

Dài quá

15 tháng 8 2020

a. \(2x\left(x-5\right)-\left(x-2\right)^2-\left(x+3\right)\left(x-3\right)\)

\(=2x^2-10x-x^2+4x-4-x^2+9\)

\(=-6x+5\)

b. \(\left(x+1\right)^2+3\left(x-5\right)\left(x+5\right)-\left(2x-1\right)^2\)

\(=x^2+2x+1+3x^2-75-4x^2+4x-1\)

\(=6x-75\)

c. \(2x\left(x-7\right)-\left(x+3\right)\left(x-2\right)-\left(x+4\right)\left(x-4\right)\)

\(=2x^2-14x-x^2-x+6-x^2+16\)

\(=-15x+22\)

d. \(\left(x+3\right)\left(x-3\right)-\left(x+5\right)\left(x-1\right)-\left(x-4\right)^2\)

\(=x^2-9-x^2-4x+5-x^2+8x-16\)

\(=-x^2+4x-20\)

15 tháng 8 2020

Bài làm:

a) \(2x\left(x-5\right)-\left(x-2\right)^2-\left(x+3\right)\left(x-3\right)\)

\(=2x^2-10x-x^2+4x-4-x^2+9\)

\(=-6x+5\)

b) \(\left(x+1\right)^2+3\left(x-5\right)\left(x+5\right)-\left(2x-1\right)^2\)

\(=x^2+2x+1+3x^2-75-4x^2+4x-1\)

\(=6x-75\)

c) \(2x\left(x-7\right)-\left(x+3\right)\left(x-2\right)-\left(x+4\right)\left(x-4\right)\)

\(=2x^2-14x-x^2-x+6-x^2+16\)

\(=-15x+22\)

d) \(\left(x+3\right)\left(x-3\right)-\left(x+5\right)\left(x-1\right)-\left(x-4\right)^2\)

\(=x^2-9-x^2-4x+5-x^2+8x-16\)

\(=-x^2-4x-20\)