Question
factorise fully \( .3 a x+3 a y-x-y \)
Ask by Salazar Lindsey. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The fully factored form is \( \frac{1}{10}(3ax + 30ay - 10x - 10y) \).
Solution
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The Deep Dive
To factorise the expression \( 0.3ax + 3ay - x - y \), we can group the terms. First, rearrange it: \( (0.3ax - x) + (3ay - y) \). Now, factor out the common factors in each group: \( x(0.3a - 1) + y(3a - 1) \). Thus, the expression can be fully factorised as: \( (0.3a - 1)x + (3a - 1)y \). That's as simplified as it gets!