Question 83 (xvi)

Multiply the following:
(ab + c), (ab + c)

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Solution

We have, (ab + c) and (ab + c)
$∴ (a b + c) (a b + c) = a b (a b + c) + c (a b + c)$
$= a^{2} b^{2} + a b c + c a b + c^{2} = a^{2} b^{2} + 2 a b c + c^{2}$

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Question 83 (vi)

Multiply the following :

abc, (bc + ca)

a + b + c

a^{2} + b^{2} + c^{2} = 83

a b + b c + c a = 71

Question 83 (iv)

Multiply the following :

$- 5 a^{2} b c, 11 a b, 13 a b c^{2}$

If $(a + b + c)$ is positive and $a^{2} + b^{2} + c^{2} = 83$ and $a b + b c + c a = 71$

then $a + b + c =$ ___

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