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$\left(-2x-2\right)\left(5{x}^{2}-6x+5\right)$(-2x-2)(5x^(2)-6x+5)
 $5{x}^{2}$5x^(2) $-6x$-6x 5 $-2x$-2x $-10{x}^{3}$-10x^(3) $12{x}^{2}$12x^(2) $-10x$-10 x -2 $-10{x}^{2}$-10x^(2) $12x$12 x -10
5x^(2) -6x 5 -2x -10x^(3) 12x^(2) -10 x -2 -10x^(2) 12 x -10
Correct! Now write the simplified answer in the box below.
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Using the distributive property, we can expand the given expression as follows:
$\left(-2x-2\right)\left(5{x}^{2}-6x+5\right)=\left(-2x\right)\left(5{x}^{2}\right)+\left(-2x\right)\left(-6x\right)+\left(-2x\right)\left(5\right)+\left(-2\right)\left(5{x}^{2}\right)+\left(-2\right)\left(-6x\right)+\left(-2\right)\left(5\right)$(-2x-2)(5x^(2)-6x+5)=(-2x)(5x^(2))+(-2x)(-6x)+(-2x)(5)+(-2)(5x^(2))+(-2)(-6x)+(-2)(5)
Simplifying each term, we get:
$-10{x}^{3}+12{x}^{2}-10x-10{x}^{2}+12x-10$-10x^(3)+12x^(2)-10 x-10x^(2)+12 x-10
Combining like terms, we get:
$\overline{)-10{x}^{3}+2{x}^{2}+2x-10}$-10x^(3)+2x^(2)+2x-10
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