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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
The Expanded of $(3x - 5)^3$ is:
  • A
    $27x^3 + 135x^2 - 225x - 125$
  • B
    $27x^3 + 135x^2 + 225x - 125$
  • ✓
    $27x^3 - 135x^2 + 225x - 125$
  • D
    None of these.
✓

Answer

Correct option: C.
$27x^3 - 135x^2 + 225x - 125$

 $(3 x-5)^3$
$=(3 x)^3-(5)^3-3 \times 3 x \times 5(3 x-5)$
$=27 x^3-125-135 x^2+225 x$
$=27 x^3-135 x^2+225 x-125$

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