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Algebraic Expressions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSAlgebraic Expressions2 Marks
Question
Simplify the following: $a(b - c) - b(c - a) - c(a - b)$
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Answer

$a(b - c) - b(c - a) - c(a - b)$
$= a \times b - a \times c - b \times c + b \times a - c \times a + c \times b$
$= ab + ab - ac - ac - ab + bc$
$= 2ab - 2ac = 2a(b - c)$

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