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

1 Answer
Apr 14, 2016

Answer:

#-11x^2+22#

Explanation:

#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#