Find the values of the following polynomial at $a = - 2$ and $b = 3$
$a^{2} + b^{2} - a b - b^{2} - a^{2}$

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Solution

Given polynomial is $a^{2} + b^{2} - a b - b^{2} - a^{2}$
Substituting the given values, we get
${(- 2)}^{2} + 3^{2} - (- 2) (3) - 3^{2} - {(- 2)}^{2} = 4 + 9 + 6 - 9 - 4 = 6$

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Question 66 (h)

Find the value of the given polynomial at a = -2 and b = 3.

$a^{2} + b^{2} - a b - b^{2} - a^{2}$

Question 66 (f)

Find the value of the given polynomial at a = -2 and b = 3.

$\frac{a^{2} - b^{2}}{3}$

Question 66 (e)

Find the value of the given polynomial at a = -2 and b = 3.

$\frac{a^{2} + b^{2}}{3}$

If a = 2, b = − 2, find the value of:

(i) a²+ b² (ii) a² + ab + b² (iii) a² − b²

Question 66 (b)

Find the value of the given polynomial at a = -2 and b = 3.

$a^{2} - 2 a b + b^{2}$

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