State True or False.
The product of $(5 a - 3 b) (25 a^{2} + 15 a b + 9 b^{2}) =$ $125 a^{3} - 27 b^{3}$

True

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False

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Solution

The correct option is A True
$(5 a - 3 b) (25 a^{2} + 15 a b + 9 b^{2}) = 5 a (25 a^{2} + 15 a b + 9 b^{2}) - 3 b (25 a^{2} + 15 a b + 9 b^{2})$
$= (125 a^{3} + 75 a^{2} b + 45 a b^{2}) - (75 a^{2} b + 45 a b^{2} + 27 b^{3})$
$= 125 a^{3} - 27 b^{3}$

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Similar questions

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

x^{3} + 27

(2 a + 3 b)

8 a^{3} + 36 a^{2} b + 54 a b^{2} + 27 b^{3}

(3 b - 2 a)

27 b^{3} - 54 b^{2} a + 36 b a^{2} - 8 a^{3}

Factorize: 125a³ – 27b³ – 225a²b + 135ab².

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