Question

Factorize :

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Answer 1

Answer:

i) (2x + y + 3z)(2x + y - 3z)

ii) (4 + x + y)(4 - x - y)

Step-by-step explanation:

1) 4x² - 4xy + y² -9z²

= [ (2x)² - 2(2x)(y) + y² ] - 9z²

= (2x + y)² - 9z²

∵this is in a² - b² form we can write

(2x + y + 3z)(2x + y - 3z)

2) 16 - x² -2xy -y²

= 16 - (x² + 2xy + y²)

= 4² - (x + y)²

= (4 + x + y)(4 - x - y)

[Answering tip : try to recognize patterns of known formulas in your questions]