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.

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

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