If $a + b = 10$ and $a - b = 4,$ find the value of $a^{2} - b^{2}$

$30$

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$35$

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$40$

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$45$

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Solution

The correct option is C
$40$

We know that $(a + b) (a - b) = a^{2} - b^{2}$

We have $a + b = 10$ and $a - b = 4$

Hence, $a^{2} - b^{2} = (a + b) \times (a - b) = 10 \times 4 = 40$

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Similar questions

If a + b = 10 and ab = 16, find the value of $a^{2} - a b + b^{2} a n d a^{2} + a b + b^{2}$ .

a + b = 10, a b = 32

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

a^{2} - b^{2}

a

b

x^{2} - 5 x + 4

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

a + b = 9, a b = 4

a^{2} + b^{2}

a = 1

b = - 1

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

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