Question

Find the product using suitable identities:(x+8) (x-10)

Answer 1

• (x+8)(x-10) = ?

=> {x+8}{x-10} = {x+8}{x+(-10)}

a
As we know that ,

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

here ,

a = 8 & b = 10 .

=> {x+8}{x+(-10)} = x^2 + {8+(-10)}x + 8×(-10)

=> {x+8}{x-10} = x^2 + (-2)x + (-80)

=> {x+8}{x-10} = x^2 -2x - 80 .

Answer 2

${\blue{\boxed{\underline{\underline{\mathbb{\red{SOLUTION \: :}}}}}}}$

Using the identity, (x+a)(x+b) = x ²+(a+b)x+ab

[Here, a = 8 and b = −10]

We get,

(x+8)(x−10) = x²+(8+(−10))x+(8×(−10))

= x²+(8−10)x–80

= x²−2x−80

$\large\fcolorbox{red}{lime}{Hope \: this \: helps \: you}$