Question

multiply.
(7y - 2v + 5)(6y + 6v + 3)
simplify your answer.

Explanation:

Step1: Apply distributive property

Multiply each term in the first polynomial by each term in the second polynomial:

$$
LATEXBLOCK0
$$

Step2: Combine like terms

• For \(y^{2}\) term: \(42y^{2}\)
• For \(yv\) terms: \(42yv-12vy = 30yv\)
• For \(y\) terms: \(21y + 30y=51y\)
• For \(v^{2}\) term: \(-12v^{2}\)
• For \(v\) terms: \(-6v + 30v = 24v\)
• Constant term: \(15\)

So the simplified form is \(42y^{2}+30yv + 51y-12v^{2}+24v + 15\)

Answer:

\(42y^{2}+30yv + 51y-12v^{2}+24v + 15\)