Question

4. Factorize:
(a) x² + 5x + 5y-y²​

Answer 1

Given:

x² + 5x + 5y-y²​

To find:

The factorized form of the given equation.

Solution:

1) Factorized form of any equation means that represents the expanded form of any equation in combined form by taking out the common from the terms.

2) Factorization:

• x² + 5x + 5y-y²​
• x² - y² + 5x + 5y
• (x+y)(x-y) +5x + 5y  [ by the identity ​x² - y²=(x+y)(x-y) ]
• (x+y)(x-y) +5(x + y)
• (x+y)(x-y+5)

Factorized from of x² + 5x + 5y-y²​ is (x+y)(x-y+5).

Answer 2

Answer:

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