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

Apr 14, 2016

$- 11 {x}^{2} + 22$

#### Explanation:

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

Use the Distributive property

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

$\rightarrow \left(4 {x}^{2} + 12\right) + \left(10 - 15 {x}^{2}\right)$

Remove the brackets

$\rightarrow 4 {x}^{2} + 12 + 10 - 15 {x}^{2}$

Collect the like terms

$\rightarrow 4 {x}^{2} + \underbrace{12 + 10} - 15 {x}^{2}$

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

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