Question

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

Answer 1

Answer:

16a*16a -25b

Step-by-step 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$(4a + 5b) (4a-5b)\ is\ 16a ^ 2-25b ^ 2$