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28 tháng 9 2022

a) A= 3.(x2-2xy+y2)- 2. (x2+2xy+y2) - x2-y2

A= 3.x2-2xy+y2-2. x2+2xy+y2-x2-y2

 

1 tháng 7 2021

a) (x+9)(x-9)-x2=x2-81-x2=-81

b) (10x-1)(10x+1)-(10x-1)2=100x2-1-100x2+20x-1=20x-2

d) (x-1)(x-2)-(x-2)(x+2)=x2-3x+2-x2+4=-3x+6

16 tháng 7 2023

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

\(=\left(x+3\right)^2+2\left(x+3\right)\left(x-3\right)+\left(x-3\right)^2\)

\(=\left[\left(x+3\right)+\left(x-3\right)\right]^2\)

\(=\left(x+3+x-3\right)^2\)

\(=\left(2x\right)^2\)

\(=4x^2\)

b) \(\left(4x-1\right)^3-\left(4x-3\right)\left(16x^2+3\right)\)

\(=\left(64x^3-48x^2+12x-1\right)-\left(64x^3+12x-48x^2-9\right)\)

\(=64x^3-48x^2+12x-1-64x^3-12x+48x^2+9\)

\(=\left(64x^3-64x^3\right)-\left(48x^2-48x^2\right)+\left(12x-12x\right)-\left(1-9\right)\)

\(=0-0+0+8\)

\(=8\)

16 tháng 7 2023

a) (x + 3)² + (x - 3)² + 2(x² - 9)

= (x + 3)² + 2(x + 3)(x - 3) + (x - 3)²

= (x + 3 + x - 3)²

= (2x)²

= 4x²

b) (4x - 1)³ - (4x - 3)(16x² + 3)

= 64x³ - 48x² + 12x - 1 - 64x³ - 12x + 48x² + 9

= (64x³ - 64x³) + (-48x² + 48x²) + (12x - 12x) + (-1 + 9)

= 8

7 tháng 7 2021

A=(7-2x)(7+2x)+(2x+7)2

    =49-4x2+4x2+28x+49

   = 98+28x

B=(4x-5)2-(2x-1)(8x-5)

  = 16x2-25-((8x(2x-1))-(5(2x-1)))

  = 16x2-25-((16x2+8x)-(10x+5))

  = 16x2-25-(16x2+8x-10x-5)

  = 16x2-25-16x2-8x+10x+5

   = -20+2x

a) Ta có: \(A=\left(7-2x\right)\left(7+2x\right)+\left(2x+7\right)^2\)

\(=7-4x^2+4x^2+28x+49\)

\(=28x+56\)

b) Ta có: \(B=\left(4x-5\right)^2-\left(2x-1\right)\left(8x-5\right)\)

\(=16x^2-40x+25-\left(16x^2-10x-8x+5\right)\)

\(=16x^2-40x+25-16x^2+18x-5\)

\(=-22x+20\)

c) Ta có: \(C=\left(5x-3\right)^2-2\left(5x-3\right)\left(5-5x\right)+\left(5x-5\right)^2\)

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

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

\(=\left(10x-8\right)^2\)

\(=100x^2-160x+64\)

d) Ta có: \(D=\left(2a+3b-c\right)\left(2a-3b+c\right)-\left(4a^2-9b^2-c^2\right)\)

\(=\left[\left(2a+\left(3b-c\right)\right)\left(2a-\left(3b-c\right)\right)\right]-\left(4a^2-9b^2-c^2\right)\)

\(=4a^2-\left(3b-c\right)^2-4a^2+9b^2+c^2\)

\(=-9b^2+6bc-c^2+9b^2+c^2\)

=6bc

19 tháng 6 2021

a) \(=x^2-49-x^2\) \(=-49\)

b) \(=25x^2-1-25x^2-1\) \(=-2\)

c) \(=16x^2-1-16x^2+8x-1\) \(=8x-2\)

d) \(=9x^2-30x+25-9x^2+25\) \(=50-30x\)

26 tháng 6 2021

`a)(x-1)^2-(x-2)(x+2)`

`=x^2-2x+1-(x^2-4)`

`=-2x+5`

`b)(2x+4)(8x-3)(4x+1)^2`

`=(16x^2-6x+32x-12)(16x^2+8x+1)`

`=(16x^2-26x-12)(16x^2+8x+1)`

`=256x^4+128x^3+16x^2-416x^3-208x^2-26x-192x^2-96x-12`

`=256x^4-288x^3-384x^2-122x-12`

`c)(a+2)^3-a(a-3)^2`

`=a^3+6a^2+12a+8-a(a^2-6a+9)`

`=a^3+6a^2+12a+8-a^3+6a^2-9a`

`=12a^2+3a+8`

25 tháng 9 2021

\(3,\\ a,=a^2+2a+1-a^2+2a-1-3a^2+3=-3a^2+4a+3\\ b,=\left(m^3-m+1-m^2+3\right)^2=\left(m^3-m^2-m+4\right)^2\\ 4,\\ a,\Leftrightarrow25x^2+10x+1-25x^2+9=3\\ \Leftrightarrow10x=-7\Leftrightarrow x=-\dfrac{7}{10}\\ b,\Leftrightarrow-9x^2+30x-25+9x^2+18x+9=30\\ \Leftrightarrow48x=46\Leftrightarrow x=\dfrac{23}{24}\\ c,\Leftrightarrow x^2+8x+16-x^2+1=16\\ \Leftrightarrow8x=-1\Leftrightarrow x=-\dfrac{1}{8}\)

2 tháng 10 2021

2a) pt <=> (x + 6)^2 = 0

<=> x = -6

b) pt <=> (4x - 1)^2 = 0

<=> x = 1/4

c) pt<=> (x + 1)^3 = 0

<=> x = -1

Bài 1:

a: Ta có: \(A=\left(4x+3y\right)^2+\left(4x-3y\right)^2\)

\(=16x^2+24xy+9y^2+16x^2-24xy+9y^2\)

\(=32x^2+18y^2\)

b: Ta có: \(B=\left(x-2\right)^3-\left(x+2\right)^3\)

\(=x^3-6x^2+12x-8-x^3-6x^2-12x-8\)

\(=-12x^2-24\)