Answer
Product of the sum and difference of two terms is obtained by the difference of the square of each terms.
Product of the sum and difference of both two terms a and b
= $a^{2}$ - $b^{2}$ or $b^{2}$ - $a^{2}$
Work Step by Step
Product of the sum and difference of two terms is obtained by the difference of the square of each terms.
Product of the sum and difference of two terms a and b
= $a^{2}$ - $b^{2}$ or $b^{2}$ - $a^{2}$
Explanation- Let two terms be a and b
sum of both= a + b
difference of both = a - b or b - a
Product of the sum and difference
= (a + b)(a - b) or (a + b)(b - a)
we know that (x + y)(x - y)= $x^{2}$ - $y^{2}$; then,
(a + b)(a - b) or (a + b)(b - a) = $a^{2}$ - $b^{2}$ or $b^{2}$ - $a^{2}$
