# How do you multiply (4x^2-7)(x^2+4)?

##### 1 Answer
Feb 19, 2017

$4 {x}^{4} + 9 {x}^{2} - 28$

#### Explanation:

You would multiply the polynomials term by term and get four monomials:

$4 {x}^{2} \cdot {x}^{2} + 4 {x}^{2} \cdot 4 - 7 \cdot {x}^{2} - 7 \cdot 4 = 4 {x}^{4} + 16 {x}^{2} - 7 {x}^{2} - 28$

and add the like terms:

$4 {x}^{4} + 9 {x}^{2} - 28$