1.

(2x-1) ^3 expansion​

Answer»

Question :-

▪Expansion :-

  • (2x - 1)^3

Solution :-

▪\sf{(2x - 1)^3}

\bold{Identity~to~be~used~:-}

❒ \boxed{(a - b)^3 = a^3 - b^3 - 3ab(a - b)}

\sf{(2x - 1)^3 = (2x)^3 - (1)^3 - 3 \times 2x \times 1 (2x - 1)}

\sf{8x^3 - 1 - 6x(2x - 1)}

ANSWER ➣\boxed{8x^3 - 1 - 12x^2 + 6x}

Know more :-

Some useful identities :-

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


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