Question

Please help me with this math problem I don’t know it I need to pass this class !!!!!!

Answer 1

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Step-by-step explanation:

Given

Length of box = l = ab

Width of box = w = a+5b

Height of box = h = 2b^2

The volume of a box is given by:

$V = Length*Width*Height\\V = l*w*h$

Putting the values

$V = (ab)(a+5b)(2b^2)\\ = (ab)(2b^2)(a+5b)\\=(2ab^3)(a+5b)\\Distributive property\\=(2ab^3*a) + (2ab^3*5b)\\=2a^2b^3 + 10ab^4$

Hence,

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Keywords: Volume, Polynomials

Learn more about polynomials at:

• brainly.com/question/9103248
• brainly.com/question/9323337

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