How do you multiply $4(x^2 + 3) + 5(2 - 3x^2)$ ?

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Answer 1 · 2016-04-14T06:25:13

$-11x^2+22$

$color(blue)(4(x^2+3)+5(2-3x^2)$

Use the Distributive property

$color(brown)(a(b+c)=ab+ac$

$rarr(4x^2+12)+(10-15x^2)$

Remove the brackets

$rarr4x^2+12+10-15x^2$

Collect the like terms

$rarr4x^2+underbrace(12+10)-15x^2$

$rarrunderbrace(4x^2)+22-underbrace(15x^2$

$color(green)(rArr-11x^2+22$

How do you multiply 4(x^2 + 3) + 5(2 - 3x^2)4(x^2 + 3) + 5(2 - 3x^2)?