Subtract:
2a − 5b + 2c − 9 from 3a − 4b − c + 6

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Solution

Writing the terms of the given expressions (in the same order) in the form of rows with like terms below each other and subtracting column-wise:

$3 a - 4 b - c + 6 2 a - 5 b + 2 c - 9 - + - + a + b - 3 c + 15$

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(i) $(2 a - 5 b - 7 c)^{2}$ (ii) $(- 3 a + 4 b - 5 c)^{2}$ (iii) $(\frac{1}{2} a - \frac{1}{4} b + 2)^{2}$

{(\frac{1}{2} a - \frac{1}{4} a + 2)}^{2}

Subtract the sum of $(a + b + c)$ and $(2 a - b + 2 c)$ from $3 a - b + 3 c$ . [3 MARKS]

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