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(Factorize): x^2 + 4x + 4 - 9y^2


1 Answer

2 votes

Answer:

x²^2 + 4x + 4 - 9y²=(x+2-3y) (x+2-3y)

Explanation:

hello :

x²+4x+4 = x²+2(2x)+2²=(x+2)² use identity : (a+b)² = a²+2ab+b²

( x² + 4x + 4) - 9y² = (x+2)²-(3y)² = (x+2-3y) (x+2-3y) use identity :

a²-b² =(a-b)(a+b)

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