Question

Simplify : ab (cx + y) + bc (ax – y) -2ca (bx + y)
algebraic expressions

Answer 1

Answer:

We have ab+bc+ax+cx=(ab+bc)+(ax+cx)=b(a+c)+x(a+c)=(a+c)(b+x).

Here proper grouping does the trick.

Answer 2

aby - bcy - 2acy

Step-by-step explanation:

QUESTION :-

Simplify :

$\bf ab(cx + y) + bc(ax - y) - 2ca(bx + y)$

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SOLUTION :-

$\bf ab(cx + y) + bc(ax - y) - 2ca(bx + y) \\ \\ \bf = > abcx + aby + abcx - bcy - 2abcx - 2acy \\ \\ \bf = > abcx + abcx - 2abcx + aby - bcy - 2acy \\ \\ \bf = > 2abcx - 2abcx + aby - bcy - 2acy \\ \\ \bf= > aby - bcy - 2acy$

Hence,

The simplification is aby - bcy - 2acy or (y)(ab - bc - 2ac) .

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Hope it helps.

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