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

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \:2x(2x - 3) - 3x(x - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x \sdot2x) - (2x \sdot3) - (3x \sdot x) - (3x \sdot - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} - 6x- 3 {x}^{2} - ( - 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 {x}^{2} - 3 {x}^{2} - 6x + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} [/tex]

I hope the Step were clear to you ~

Esther

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:

brainly.com/question/27543580

brainly.com/question/27445861

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