Question

(x + a) (x + b) = x2 + (a + b) x + ________.​

Answer 1

Answer:

ab

Step-by-step explanation:

as it is a formula

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

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Answer 2

Answer:

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

Step-by-step explanation:

Here we have been given to find the value of the given identity by solving it.

Now as we know that we can solve this by opening the brackets of the factors in LHS and then comparing with the RHS to find the missing term as below:

$(x+a)(x+b)$

= $(x+a) x + (x+a) b$

= $x^{2} + ax + bx +ab$

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

Now comparing it with RHS we have the missing term to be $ab$