the area of the rectangle is 4x^2. whats does the coefficient 4 means in terms of the problem?

length is  4 times greater than breadth

Step-by-step explanation:

We know that , area of rectangle is given by

A=length*breadth ( equation 1)

given is A=4x^2

4x^2=(4x*x)

comparing with equation 1 we get ,

length=4x.

breadth=x.

hence  4 coefficient tell that length is 4 times greater than breadth.

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