Question

Factorize
${x}^{2} - 2x - 80$
​

Answer 1

Answer:

(x-10)(x+8)

Step-by-step explanation:

$x^{2} - 2x - 180 =$ $x^{2} +8x-10x - 80$

                      = $x(x+8)-10(x+8)$

                      = (x-10)(x+8)

Answer 2

Answer:

(x+8) (x-10) is the factorised form of the expression

Step-by-step explanation:

x²-2x-80

we can split the middle term of the expression to factorise it.

In this technique if we have to factorise an expression like ax²+bx+c, we need to think of 2 numbers such that.

N1×N2=A×C = 1×(-80)= -80

AND

N1+N2=b= -2

After trying out a few numbers we get

N1 = -10 & N2 =8

8×(-20) = -80 and 8+(-10)= -2

x²-2x-80=x²-10x +8x-80

x(x-10) +8(x-10)

(x+8) (x-10)

i hope this will help u