Question

Find the product of 2x2(6x + 3). 12x3 12x3 + 3 12x3 + 6x2 2x2 + 6x + 3

Answer 1

C. 12x³ + 6x²

Explanation:

I'm an FLVS kid and got the question right, so I wanted to explain my answer:

You just have to use the distributive property for this one. Multiply 2x² by each term in the brackets.

2x²(6x + 3) ← original question for ref.

2x²(6x) = 12x³

• 2 · 6 = 12

• x² · x = x³

• ("x" techniqually has a placeholder exponent of 1. To multiply two exponents with the same base, you just add the exponents. So x2 + x1 = x3.)

2x²(3) = 6x²

• 2 · 3 = 6
• Keep the variable and exponent the same

So the new terms are 12x³ + 6x²

The answer is C.

Answer 2

(option C/3) 12^3 + 6x^2

Explanation:

Took test, got it right. Idk how, cause I was stump to.