Factorise each of the following polynomials using (a + b)2 = a2 + 2ab + b2 and (a - b)2 = a2 - 2ab + b2
a) x² + 6xy +9y^2
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Answer:
(x+3y)(x+3y)
Step-by-step explanation:
x² + 6xy +9y² = (x)² + 2*x*3y + (3y)²
Comparing with a²+2ab+b²,
a=x, b=3y
Therefore, answer= (x+3y)² = (x+3y)(x+3y)
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