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Factorisation by Common Factors

Question 4iiF...

Question

Question 4(ii)
Factorise
$p^{4} - 81$

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Solution

$p^{4} - 81 = (p^{2})^{2} - (9)^{2} = (p^{2} - 9) (p^{2} + 9) = [(p)^{2} - (3)^{2}] (p^{2} + 9) = (p - 3) (p + 3) (p^{2} + 9)$

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p^{4} - 81

Question 95

Solve the following:

Express $\frac{16}{81} a n d \frac{- 16}{81}$ as powers of rational number.

\sqrt[4]{(81)^{- 2}}

\frac{1}{9}

\frac{1}{3}

9

\frac{1}{81}

Question 81 (i)

Add :

$7 a^{2} b c, - 3 a b c^{2}, 3 a^{2} b c, 2 a b c^{2}$

\sqrt[4]{(81)^{- 2}}

\frac{1}{9}

\frac{1}{3}

9

\frac{1}{81}

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