Multiply

Question

2, g, h, of, 5, g, h, squared, plus, 4, g, h2gh(5gh
2
+4gh)
Answer
Multiple Choice Answers
10, g, h, squared, plus, 8, g, h10gh
2
+8gh
10, g, squared, h, cubed, plus, 8, g, squared, h, squared10g
2
h
3
+8g
2
h
2

10, g, h, plus, 8, g, h10gh+8gh
18, g, h18gh

Answer 1

To multiply \( 5gh^2 + 4gh \) by \( 2gh \), we can distribute \( 2gh \) to each term in the expression.

1. Multiply \( 2gh \) by \( 5gh^2 \): \[ 2gh \cdot 5gh^2 = 10g^2h^3 \]

2. Multiply \( 2gh \) by \( 4gh \): \[ 2gh \cdot 4gh = 8g^2h^2 \]

Now, combine the results: \[ 10g^2h^3 + 8g^2h^2 \]

Thus, the complete expression after multiplying is: \[ 10g^2h^3 + 8g^2h^2 \]

Among the provided multiple-choice answers, the correct option is: \[ \textbf{10, g, squared, h, cubed, plus, 8, g, squared, h, squared} \quad 10g^2h^3 + 8g^2h^2 \]