Question

1. Expand : (x+a)(x+b)*
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Answer 1

Answer:

Explanation:Step 1 : Select anyone of the term first.

Step 2 : Take first variable or constant whatever it may be, of the term which you selected at first.

Step 3 : Multiply the selected variable with the remaining term that you left at first, with the proper sign.

Step 4 : And then, multiply the same second term with the remaining variable or constant.

Here, I selected the first term as it is in a sequence. That is,

= (x+a)(x-b)

= x(x-b)+a(x-b)

= x²-bx+ax-ab

We can stop here, or continue by taking ‘x’ as common in the middle term. So, we get

= x²+x(a-b)-ab

Therefore, it is in the form of ax²+bx-c.

Therefore, the expansion form of (x+a)(x-b) is x²+x(a-b)-ab.

Answer 2

Answer:

(x+a)(x+b)=x^2+(a+b)x+ab