Question

Find the product of (4x + 3y)(4x − 3y). (2 points)

Answer 1

(4x+3y)(4x-3y)

Multiply the two brackets together

4x(4x)(4x-3y)(-3y)(4x)(3y)(-3y)

16x^2-12xy+12xy-9y^2

16x^2-9y^2

Answer is 16x^2-9y^2

Answer 2

`\huge{\boxed{16x^2-9y^2}}`

Use the FOIL method.

First term in each binomial:
`4x*4x=16x^2`

Outside terms:
`4x*-3y=-12xy`

Inside terms:
`3y*4x=12xy`

Last term in each binomial:
`3y*-3y=-9y^2`

Add these all together.
`12xy-12xy+16x^2-9y^2=\boxed{16x^2-9y^2}`