Question

Question
Find the product of "(8.77 xx 8.77xx 8.77+ 4.23xx 4.23 xx 4.23)/(8.77 xx 8.77 -8.77 xx 4.23+ 4.23 xx 4.23) ?.
Answer Choice

Answer 1

Answer:

ans is 13

Step-by-step explanation:

a3 + b3 = a3 + b3 = (a + b) (a2 - ab + b2)

(a + b) = (a3 + b3)/ (a2 - ab + b2)

hence 8.77 + 4.23 = 13

Answer 2

We need to recall the following formula.

• $(a^3+b^3)=(a+b)(a^2-ab+b^2)$

Given:

$\frac{8.77\times 8.77\times 8.77+4.23\times 4.23\times 4.23}{8.77\times 8.77-8.77\times4.23+4.23\times4.23}$

Simplify the equation.

$=\frac{(8.77)^3+(4.23)^3}{(8.77)^2-(8.77\times4.23)+(4.23)^2}$

Using the formula of the sum of cubes in the numerator, we get

$=\frac{(8.77+4.23)((8.77)^2-(8.77\times4.23)+(4.23)^2)}{[(8.77)^2-(8.77\times4.23)+(4.23)^2]}$

$=8.77+4.23$

$=13$