Question

Find the following product using appropriate identities:-
A) (X+3)(X+3)
B) (X-3) (X+5)

Answer 1

Step-by-step explanation:

(a) (x + 3) (x + 3) = (x + 3)²

→ Using Identity : (a + b)² = a² + 2ab + b²

= (x + 3)² = (x)² + 2(x)(3) + (3)²

= (x + 3)² = x² + 6x + 9

(b) (x - 3) (x + 5)

→ Using Identity : (x + a) (x + b) = x² + (a + b) x + ab

= (x - 3) (x + 5) = (x)² + (-3 + 5) x + (-3) (5)

= (x - 3) (x + 5) = x² + 2x - 15

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✤ Identities related to it :-

1. (a - b)² = a² - 2ab + b²
2. a² - b² = (a + b) (a - b)

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