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Subtraction of Algebraic Expression

Evaluate:iii ...

Question

Evaluate:

$(i i i)$ $(8 a + 15 b) - (3 b - 7 a)$

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Solution

$Step:$ Simplify the expression

By grouping the terms having the same literals and adding, we get,

$(8 a + 15 b) - (3 b - 7 a) = 8 a + 15 b - 3 b + 7 a$

$= (8 a + 7 a) + (15 b - 3 b)$

$= a (8 + 7) + b (15 - 3)$

$= 15 a + 12 b$

Hence, $(8 a + 15 b) - (3 b - 7 a) = 15 a + 12 b$

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Similar questions

$(7 a^{2} - 63 b^{2}) = ? (a) (7 a - 9 b) (9 a + 7 b) (b) (7 a - 9 b) (7 a + 9 b) (c) 9 (a - 3 b) (a + 3 b) (d) 7 (a - 3 b) (a + 3 b)$

Q. Tick (✓) the correct answer:
(7a² − 63b²) = ?
(a) (7a − 9b)(9a + 7b)
(b) (7a − 9b)(7a + 9b)
(c) 9(a − 3b)(a + 3b)
(d) 7(a − 3b)(a + 3b)

Q. Evaluate:
(iii)

- 8 a - 3 a + 12 a + 13 a - 6 a

Q. If P = 7a - [6b - {9a - (5c + 12b) + 5c - 5 (3a - 5b)}]
and Q = 6a - [15b - {8a - (4c + 11b) + 4c}].
then (16P + 7Q) is equal to:

8 a^{2} - 22 a b + 15 b^{2}

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Subtraction of Algebraic Expression

Standard VII Mathematics

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