Question

Find each product. (2x² - 3x)(-3x² + 4x - 2)

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2Given expression is $(2x^2-3x)(-3x^2-4x-2 )$

$\begin{align*} 2x^2(-3x^2-4x-2)-3x(3x^2-4x-2)\\ &=-6x^4+8x^3-4x^2 -9x^3+12x^2+6x\\ &=-6x^4-x^3+8x^2+6x \end{align*}$

Use the distrubutive property by multiplying each term with $2x^2$ and $-3x$ .Then add the like terms

Step 1

1 of 2Given: $(2x^2-3x)(-3x^2+4x-2)$

Apply Distributive Property:

$2x^2(-3x^2+4x-2)-3x(-3x^2+4x-2)$

$-6x^4+8x^3-4x^2+9x^3-12x^2+6x$

Combine like terms:

$\color{#c34632}{-6x^4+17x^3-16x^2+6x}\color{white}{\tag{1}}$

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