Answer
(13)(11)
Work Step by Step
Given the number 143 we find two numbers that are perfect squares that add to give 143. We get +144 and -1
144 - 1
*** Take the square root of 144 which is 12. Becuase 12 × 12= 144
*** Take the square root of 1 which is 1. Becuase 1 × 1= 1
We rewrite it as the squares.
$12^{2}$ - $1^{2}$
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 12 represents a and 1 represents b.
$(12)^{2}−1^{2}$ = (12+1)(12-1)
= (12+1)(12-1)
= (13)(11)
