Find the product of:
(i) $(5 a - 2 b) (5 a + 2 b) (25 a^{2} - 4 b^{2})$
(ii) $(2 x^{2} - 3) (2 x^{2} + 3)$

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Solution

$(i) (5 a - 2 b) (5 a + 2 b) (25 a^{2} - 4 b^{2})$
$= (25 a^{2} - 4 b^{2}) (25 a^{2} - 4 b^{2})$ $[∵ (a - b) (a + b) = a^{2} - b^{2}]$
$= (25 a^{2} - 4 b^{2})^{2}$
$= 625 a^{4} - 200 a^{2} b^{2} + 16 b^{4}$ $[∵ (a - b)^{2} = a^{2} - 2 a b + b^{2}]$

$(i i) (2 x^{2} - 3) (2 x^{2} + 3)$
$= 4 x^{4} - 9$

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Similar questions

25 a^{2} - 4 b^{2} + 5 a + 2 b

Use the identity to compute:

(i) (x − 6)²; (ii) (3x − 5y)²; (iii) (5a − 4b)²; (iv) (p² − q²)².

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

(5 a - 4 b)^{2}

6 a \times 4 b^{2}

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