Question

a2-b2 is a product of
I. (a+b)(a-b)
II. (a+b)(a+b)
III. (a-b)(a-b)
IV. None of these

Answer 1

hey here is your ans

ans is option I.

as a2-b2= (a+b)(a-b)

where (a+b)(a-b)= a (a-b)+b (a-b)

= a2-ab+ab-b2

= a2+0-b2

=a2-b2



hope it helps

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Answer 2

Answer:

The correct answer will be -

(I) (a+b)(a-b)

Step-by-step explanation:

Given the question is -

To find a² - b² is a product of -

To factorize this we can add ab and subtract ab from the given problem.

Also adding and subtracting the same quantity doesn't make any difference.

let x be any number so we can also say as if we add and subtract the same quantity -

$x= x+y-y =x$

Doing the same in the problem -

$= a^2-b^2+ab-ab$

Now rearranging -

$= a^2-ab+ab-b^2$

Now we can take common in a group of two -

$= a(a-b)+b(a-b)$

Again taking common -

$= (a+b)(a-b)$

so, a² - b² can also be expressed as the product of (a+b)(a-b).

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