3 years ago

The product of the sum of a and b and their difference.

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

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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