Math, asked by prakhara2544, 10 months ago

Find the products of (x - 9) (x + 7) by using suitable identities

Answers

Answered by MansiMalewar
39

Answer:

= x^2 -2x -63

Step-by-step explanation:

(x - 9) (x + 7)

Using (x+a)(x+b) = x^2+(a+b)x+(ab)

here, a = -9 and b= 7

= x^2+(-9+7) x +(-9× 7)

= x^2 -9x +7x -63

= x^2 -2x -63

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Answered by hukam0685
1

The product is  \bf \red{(x  - 9)(x + 7) =  {x}^{2}   - 2x - 63}\\

Given:

  • (x - 9)(x + 7) \\

To find:

  • Find the product using suitable identity.

Solution:

Identity to be used:

\boxed{\bf (x + a)(x + b) =  {x}^{2}  + (a + b)x + ab} \\

Here,

The expression is

(x - 9)(x + 7) \\

On compare with the identity, it is clear that

\bf a =  - 9 \\

and

\bf b = 7 \\

So,

(x  - 9)(x + 7) =  {x}^{2}  + ( - 9 + 7)x + ( - 9)(7) \\

or

(x  - 9)(x + 7) =  {x}^{2}  + ( - 2)x + ( - 63)\\

or

(x  - 9)(x + 7) =  {x}^{2}   - 2x - 63\\

Thus,

The product is \bf (x  - 9)(x + 7) =  {x}^{2}   - 2x - 63\\

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