[tex](x + 5)(x + 2)[/tex]
Use the algebraic identity,
[tex](x + a)(x + b) \\ = {x}^{2} + (a + b)x + ab[/tex]
Now,
a = 5
b = 2
Substitute the values of a & b in the identity & solve the equation.
[tex] {x}^{2} +( a + b)x + ab \\ = x {}^{2} + (5 + 2)x + 5 \times 2 \\ = {x}^{2} + 7x + 10[/tex]
[tex]✎ \: (x + 5)(x + 2) = {x}^{2} + 7x + 10[/tex]