Question

the common factor of x²+7x+10 and x²-25 is​

Answer 1

x²+7x+10

x²+5x+2x+10

x(x+5)+2(x+5)

= (x+2) (x+5) (Answer)

x²-25

x²-(5)²

x²-5×5

= (x+5) (x-5) (Answer)

Answer 2

SOLUTION

TO DETERMINE

The common factor of x² + 7x + 10 and x² - 25

EVALUATION

Here the given expressions are

x² + 7x + 10 and x² - 25

First expression

= x² + 7x + 10

= x² + 5x + 2x + 10

= x(x + 5) + 2(x + 5)

= (x + 2) (x + 5)

Second expression

= x² - 25

= x² - 5²

= (x + 5) (x - 5)

Hence the required common factor

= x + 5

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