# Divide: Acx2 + (Bc + Ad)X + Bd by (Ax + B) - Mathematics

Sum

Divide:
acx2 + (bc + ad)x + bd by (ax + b)

#### Solution

$\frac{ac x^2 + (bc + ad)x + bd}{(ax + b)}$
$= \frac{ac x^2 + bcx + adx + bd}{(ax + b)}$
$= \frac{cx(ax + b) + d(ax + b)}{(ax + b)}$
$= \frac{(ax + b)(cx + d)}{(ax + b)}$
$= cx + d$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 8 Division of Algebraic Expressions
Exercise 8.6 | Q 4 | Page 17