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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
$75 × 75 + 2 × 75 × 25 + 25 × 25$ is equal to:
  • ✓
    $10000$
  • B
    $6250$
  • C
    $7500$
  • D
    $3750$
✓

Answer

Correct option: A.
$10000$
Given expression is $75 × 75 + 2 × 75 × 25 + 25 × 25$
Let $75 = a$ and $25 = b$
Then, we have
$a × a + 2 × a × b + b × b$
$= a^2 + 2ab + b^2$
$= (a + b)^2$
$= (75 + 25)^2$
$= (100)^2$
$= 10000$
Hence, correct option is $(a).$

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