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Comparision of Quantities Using Exponents

Expand: a2-...

Question

Expand: $a^{2} - b^{2}$ =?

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Solution

$a^{2} - b^{2} = (a - b) \times (a + b)$

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Similar questions

(a + b)^{2}

a^{2} + b^{2} + 2 a b

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a^{3} b^{2}, a^{2} b^{3}, b^{2} a^{3}, b^{3} a^{2} .

Are they all same?

Q. Expand the following formulas

\begin{matrix} (a + b)^{2} = a^{2} - b^{2} = (a + b + c)^{2 =} \end{matrix}

Q. Expand the given expression using identitites:

{(a^{2} - b^{2})}^{2}

Expand the following formulas

(a + b)^{2}

(a - b)^{2}

(a^{2} + b^{2})

(a + b)^{3}

(a - b)^{3}

a^{3} + b^{3}

a^{3} - b^{3}

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