Aplayground has three different playing areas: a square area for a swing set, a rectangular area for a slide, and an area of 30 square feet for a basketball hoop. the following expression represents the total area of a rectangular playground, and x represents side length of the area with the swing set. x^2 + 11x + 30 what does x^2 represent in this expression

In this expression x^2 would represent the area of the square. The area of the square is found by multiplying the length by the width. A square would have the same length for each therefore it can be represented as x^2.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

step-by-step explanation:

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