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Operations on Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsOperations on Algebraic Expressions1 Mark
MCQ
Tick $(\checkmark)$ the correct answer:
If $(a-b)=7$ and $a b=9$, then $\left(a^2+b^2\right)= ?$
  • ✓
    $67$
  • B
    $31$
  • C
    $40$
  • D
    $58$
✓

Answer

Correct option: A.
$67$
$a-b=7$
$a b=9$
$a^2+b^2=(a-b)^2+2 a b$
$=(7)^2+2 \times 9$
$=49+18$
$=67$

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