Question

What’s the product of the 2 binomials below? (4a+5b)(4a-5b)

Answer 1

16a*16a -25b

Explanation:

Answer 2

For this case we must solve the product of two binomials, applying the distributive property, which by definition establishes:

`(a + b) (c + d) = ac + ad + bc + bd`

So, if we have:
`(4a + 5b) (4a-5b)`, your product is given by:

Considering that
`- * + = -`

`(4a) (4a) - (4a) (5b) + (5b) (4a) - (5b) (5b) =\\16a ^ 2-20ab + 20ab-25b ^ 2 =\\16a ^ 2-25b ^ 2`

Answer:

The product of
`(4a + 5b) (4a-5b)\ is\ 16a ^ 2-25b ^ 2`