Tick ( ) the correct answer: ab - mn + an - bm = ? - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer:
$ab - mn + an - bm = ?$

A
$(a - b)(m - n)$
✓
$(a - m)(b + n)$
C
$(a - n)(m + b)$
D
$(m - a)(n - b)$

✓

Answer

Correct option: B.

$(a - m)(b + n)$

$ab - mn + an - bm$
$= ab + an - bm - mn$
$= a(b + n) - m(b + n)$
$= (a - m)(b + n)$

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