The correct option is Option 4: [tex]2a^2b^3 + 10ab^4[/tex]
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:
[tex]V = Length*Width*Height\\V = l*w*h[/tex]
Putting the values
[tex]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[/tex]
Hence,
The correct option is Option 4: [tex]2a^2b^3 + 10ab^4[/tex]
Keywords: Volume, Polynomials
Learn more about polynomials at:
- brainly.com/question/9103248
- brainly.com/question/9323337
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