Math, asked by anuragkumar9854, 1 year ago

(x+7)(x-10)+16 factorize it ​

Answers

Answered by ranjnadogra76
22

Step-by-step explanation:

let x = a

(a+7)(a-10)+16

a(a-10)+7(a-10) +16

a ^2 -10a +7a -70 +16

a^2 - 3a - 54

a ^2 - 9a + 6a - 54

a(a-9)+6(a-9) =0

(a-9)(a+6)=0

(a-9)=0 OR (a+6) = 0

a= 9. 0R a= -6

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Answered by windyyork
19

The factorized value is (x-9)(x+6)

Step-by-step explanation:

Since we have given that

(x+7)(x-10)+16

We need to factorise the above equation:

First we will do :

(x+7)(x-10)=x^2-3x-70

Now, it becomes

x^2-3x-70+16=0\\\\x^2-3x-54=0

Now, we will factorise it :

x^2-9x+6x-54\\\\=x(x-9)+6(x-9)\\\\=(x-9)(x+6)

Hence, the factorized value is (x-9)(x+6)

# learn more:

Which of the following best describes the expression 5(x + 2)? The sum of constant factors 5 and x + 2 The product of constant factors 5 and x + 2 The sum of a constant factor 5 and a 2-term factor x + 2 The product of a constant factor 5 and a 2-term factor x + 2

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