Multiply

(4x + 6) ^2

Okay, You can't distribute the exponent because it's addition inside that paranthesis.

How about FOIL?

That sounds correct so this is what I got!

F.O.I.L. = First, Outer, Inner, Last.

(4x+6)^2 =

(4x+6) (4x+6)

First 4x*4x = 16x^2

Outer 4x*6 = 24x

Inner 6*4x = 24x

24x+24x = 48x

Last 6*6 = 36

16x^2 + 48x + 36

Yup. That's what I got.

Good Job! Thanks for the help!

To solve the expression (4x + 6)^2, we need to use the concept of multiplying a binomial by itself.

Step 1: Write down the given expression.
(4x + 6)^2

Step 2: Expand the expression using the distributive property.
(4x + 6)(4x + 6)

Step 3: Multiply the terms in the first binomial by the terms in the second binomial.
(4x * 4x) + (4x * 6) + (6 * 4x) + (6 * 6)

Step 4: Simplify by combining like terms.
16x^2 + 24x + 24x + 36

Step 5: Further simplify by combining like terms.
16x^2 + 48x + 36

Therefore, the expression (4x + 6)^2 simplifies to 16x^2 + 48x + 36.