Question

You have a truck with two gas tanks. The volume of the larger tank is "8x2 + 2x − 1" in3 and the volume of the smaller tank is "7x2 − 2x + 1" in3. Find a single expression that represents the capacity of both gas tanks combined.












A) 15x2

Answer 1

The combined volume of both tanks is: Option A: 15x^2

Step-by-step explanation:

Given

Volume of larger tank = V_L =  $8x^2+2x-1$ in^3

Volume of smaller tank = V_S= $7x^2-2x+1$ in^3

To find the combined volume, we have to add both volumes

$V = V_L+V_S\\=8x^2 + 2x - 1 + (7x^2 - 2x + 1)\\=8x^2+2x-1+7x^2-2x+1\\Combining\ like\ terms\\=8x^2+7x^2+2x-2x-1+1\\=15x^2$

Hence,

The combined volume of both tanks is: Option A: 15x^2

Keywords: Expressions, Polynomials

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