Question

2x(2x-3)-3x(x-2) need help on this

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's evaluate ~

$\qquad \sf  \dashrightarrow \:2x(2x - 3) - 3x(x - 2)$

$\qquad \sf  \dashrightarrow \:(2x \sdot2x) - (2x \sdot3) - (3x \sdot x) - (3x \sdot - 2)$

$\qquad \sf  \dashrightarrow \: 4 {x}^{2} - 6x- 3 {x}^{2} - ( - 6x)$

$\qquad \sf  \dashrightarrow \:4 {x}^{2} - 3 {x}^{2} - 6x + 6x$

$\qquad \sf  \dashrightarrow \: {x}^{2}$

I hope the Step were clear to you ~

Answer 2

Answer:

x²

Step-by-step explanation:

Given: 2x(2x - 3) - 3x(x - 2)

Distributive Property: a(b + c) = ab + ac

1. Distribute

⇒ 2x(2x) + 2x(-3) + -3x(x) + -3x(-2)

⇒ 4x² - 6x - 3x² + 6x

2. Combine like terms

⇒ 4x² - 3x² - 6x  + 6x

⇒ x²

Learn more about the distributive property here:

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