Question

Solve using any method(FOIL, Box, Distributive)

(2y+8)2

Answer 1

4y^2 + 32y + 64

Explanation:

To solve the expression (2y+8)^2, we can use the distributive property or the FOIL method. Let's use the distributive property to expand the expression:

(2y + 8) * (2y + 8)

Using the distributive property, we multiply each term in the first expression by each term in the second expression:

2y * 2y + 2y * 8 + 8 * 2y + 8 * 8

Simplifying each term, we get:

4y^2 + 16y + 16y + 64

Combining like terms, we have:

4y^2 + 32y + 64

So, the expanded form of (2y+8)^2 is 4y^2 + 32y + 64.