Answer
(16)(14)
Work Step by Step
Given the number 224 we find two numbers that are perfect squares that add to give 224. We get +225 and -1
225 - 1
*** Take the square root of 225 which is 15. Becuase 15 × 15= 225
*** Take the square root of 1 which is 1. Becuase 1 × 1= 1
We rewrite it as the squares.
$15^{2}$ - $1^{2}$
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 15 represents a and 1 represents b.
$(15)^{2}−1^{2}$ = (15+1)(15-1)
= (15+1)(15-1)
= (16)(14)
