Answer
(14)(6)
Work Step by Step
Given the number 84 we find two numbers that are perfect squares that add to give 84. We get +100 and -16
100 - 16
*** Take the square root of 100 which is 10. Becuase 10 × 10 = 100
*** Take the square root of 16 which is 4. Becuase 4 × 4 = 16
We rewrite it as the squares.
$10^{2}$ - $4^{2}$
We use the formula for the difference of squares to apply to this question.
The difference of squares formula is:
$(a-b) (a+b) = a^{2} - b^{2}$
In the given formula let 10 represents a and 4 represents b.
$10^{2}$ - $4^{2}$ = (10+4)(10-4)
= (10+4)(10-4)
= (14)(6)
