Respuesta :

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Answer:-

[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]