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Required ANSWER :

Question : -

• ( x² + 10x + 25 ) by (x+5)

Solution : -

We have to divide ( x² + 10x + 25 ) with (x+5) term using long division method

GIVEN,

• Dividend = (x² + 10x + 25)

• Divisor = (x+5)

• Quotient = ?

\dfrac{ (x² + 10x + 25) }{(x+5)} \: = \: x \: + \: 5

After dividing (x² + 10x + 25) with (x+5) remainder will be 0 and answer will be x+5

Now we have to verify :

So as to verify multiply the divisor with quotient.

(x+5) (x+5)

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

x² + 5x + 5x + 25

x² + 10x + 25

HENCE, verified

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NOTE:

Refer the attachment for more better understanding of step long division method.

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