Question

Simplify the product.

5b(6b-10)
A.11b-10
B.5b^2+6b-10
C.-b - 10
D.60b^2-50b

Answer 1

Your answer is D for your purposes

Work:

Multiply b and 5

Multiply b and 1

The b just gets copied along.

5*b evaluates to 5b

Multiply b and 6

Multiply b and 1

6*b evaluates to 6b

6*b-10 evaluates to 6b-10

Multiply 5b by 6b-10

Multiply 5b by each term in 6b-10 term by term.

This is the distributive property of multiplication.

Multiply 5b and 6b

Multiply the b and b

Multiply b and b

Combine the b and b by adding the exponents, and keeping the b, to get b²

5b × 6b =

Multiply 5b and -10

Multiply b and 1

5b × -10 = -50b

5*b*(6*b-10)

***The final answer is 30b²-50b***

Answer 2

Your answer is D for your purposes

Work:
Multiply b and 5
Multiply b and 1
The b just gets copied along.

5*b evaluates to 5b

Multiply b and 6
Multiply b and 1

6*b evaluates to 6b
6*b-10 evaluates to 6b-10
Multiply 5b by 6b-10
Multiply 5b by each term in 6b-10 term by term.

This is the distributive property of multiplication.

Multiply 5b and 6b
Multiply the b and b
Multiply b and b

Combine the b and b by adding the exponents, and keeping the b, to get b²

5b × 6b =

Multiply 5b and -10
Multiply b and 1

5b × -10 = -50b

5*b*(6*b-10)

***The final answer is 30b²-50b***