Question

Expand :- (5t – 2)³
please guys answer fast

Answer 1

Answer:

125t^3-8-30t(5t-2)

125t^3-8-150t^2+60t

125t^3-150t^2+60t-8

Answer 2

$Expansion \: of \: (5t - 2 )^{3}$

/* By algebraic identity */

$\boxed{\pink{ (a-b)^{3} = a^{3}-3a^{2}b+3ab^{2}-b^{3}}}$

$= (5t)^{3} - 3\times (5t)^{2} \times 2+3\times (5t) \times 2^{2} - 2^{3}$

$= 125t^{3} - 150t^{2} + 60t - 8$

Therefore.,

$\red{Expansion \: of \: (5t - 2 )^{3}}$

$\green {= 125t^{3} - 150t^{2} + 60t - 8}$

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