Question

How can i prove the formula is square minus b square is equal to a + b into a minus b?

Answer 1

Step-by-step explanation:

• a² - b² = (a + b)( a - b)

PROOF:

• ==> a² + ab - ab - b²
• ==> a( a + b) - b( a + b )
• ==>. ( a+ b)(a - b )

HENCE PROVED.

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Answer 2

$a^2-b^2 = (a+b)(a-b)$

Solution:

Given that, we have to prove:

$a^2-b^2 = (a+b)(a-b)$

Take the RHS of above identity,

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

Multiply each term in first bracket with each term in second bracket

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

-ab and ab cancels each other

Therefore, we get,

$(a+b)(a-b) = a^2-b^2$

LHS = RHS

Thus the formula is proved

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