Question

Find ( x+5 ) ( x+2 )​

Answer 1

ꫝꫀꪗ

✍ Answer:-

`(x + 5)(x + 2)`

Use the algebraic identity,

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

Now,

a = 5

b = 2

Substitute the values of a & b in the identity & solve the equation.

`{x}^(2) +( a + b)x + ab \\ = x {}^(2) + (5 + 2)x + 5 * 2 \\ = {x}^(2) + 7x + 10`

`✎ \: (x + 5)(x + 2) = {x}^(2) + 7x + 10`