Question

4(x-1)^2-9x^2

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Answer 1

−5𝑥^2−8𝑥+4

Answer 2

\(=\left[2\left(x-1\right)-3x\right]\left[2\left(x-1\right)+3x\right]\\ =\left(2x-2-3x\right)\left(2x-2+3x\right)\\ =\left(-2-x\right)\left(5x-2\right)\\ =\left(x+2\right)\left(2-5x\right)\)

Answer 3

\(4\left(x-1\right)^2-9x^2=\left(2x-2\right)^2-\left(3x\right)^2=\left(2x-2-3x\right)\left(2x-2+3x\right)=\left(-x-2\right)\left(5x-2\right)=-\left(x+2\right)\left(5x-2\right)=\left(x+2\right)\left(2-5x\right)\)

Answer 4

\(4\left(x-1\right)^2-9x^2=4\left(x-1\right)^2-\left(3x\right)^2=4\left[\left(x-1\right)-3x\right]\left[\left(x-1\right)+3x\right]=\left(x-1-3x\right)\left(x-1+3x\right)=\left(-2x-1\right)\left(4x-1\right)\)

Answer 5

\(4\left(x-1\right)^2-9x^2\)

\(=\left[2\left(x-1\right)\right]^2-\left(3x\right)^2\)

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

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

\(=\left(-x-2\right)\left(5x-2\right)\)

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

Answer 6

=[2(x−1)−3x][2(x−1)+3x]

=(2x−2−3x)(2x−2+3x)

=(−2−x)(5x−2)

=(x+2)(2−5x)