Question

Formulae:- a2 + 2ab + b2 = (a +b)2 Worked out: a) 4x2 + 20xy + 25y2 = (2x)2 + 2.2x.5y + (5y)2 [ as a2 + 2ab + b2 = (a +b)2] = (2x + 5y)2 Ans. Using the above formula, factorize the following expressions: a) a2 + 12a + 36 b) y2 + 14y + 49 c) p2 + 22p + 121 d) 4a2 + 20a + 25 e) 9r2 + 60r + 100 f) 36x2 + 84x + 49

Answer 1

Step-by-step explanation:

using the identity( a+b)

(a) [a]2+(2*a*6b)+[6b]2

(a+6b)2

Answer 2

Formulae:- a2 + 2ab + b2 = (a +b)2 Worked out: a) 4x2 + 20xy + 25y2 = (2x)2 + 2.2x.5y + (5y)2 [ as a2 + 2ab + b2 = (a +b)2] = (2x + 5y)2 Ans. Using the above formula, factorize the following expressions: a) a2 + 12a + 36 b) y2 + 14y + 49 c) p2 + 22p + 121 d) 4a2 + 20a + 25 e) 9r2 + 60r + 100 f) 36x2 + 84x + 49