The product of the sum of a and b and their difference.
1 answer:
Step-by-step explanation:
The product of the sum of a and b and their difference:
(a + b)(a - b) = a² - b²
Proof:
L = (a + b)(a - b) <em>use FOIL</em>
L = (a)(a) + (a)(-b) + (b)(a) + (b)(-b)
L = a² - ab + ab - b² <em>combine like terms</em>
L = a² - b² + (-ab + ab)
L = a² - b²
R = a² - b²
L = R
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