Math, asked by rupa22, 1 year ago

factorize: x^2+8x-65

Answers

Answered by SethRollins1
164
hi friend
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Your answer
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x²+8x-65
= x²+(13-5)x -65
= x²+13x-5x-65
= x(x+13) -5(x+13)
= (x+13)(x-5)
hope it helps
#SethRollins1
Answered by qwvilla
3

Question :

Factorize: x^2+8x-65

Answer :

The factorization of the expression x^2+8x-65 is (x - 5) ( x + 13)

Given :

The expression x^2+8x-65

To find :

To factorize the given expression

Solution ;

The expression x^2+8x-65

We need to perform middle term factorization here ,

Hence , x^2+8x-65

= x^2 + 13x - 5x - 65 (splitting the middle term 8x by the factors of 65 × 1 = 65 )

= x ( x + 13 ) - 5 ( x + 13) ( Taking common terms together )

= (x - 5) ( x + 13)

Hence, the factorization of the expression x^2+8x-65 is (x - 5) ( x + 13)

#SPJ3

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