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Question
Simplify the following:
[5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)
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Solution
\[ \left[ 5 - 3x + 2y - \left( 2x - y \right) \right] - \left( 3x - 7y + 9 \right)\]
\[ = \left[ 5 - 3x + 2y - 2x + y \right] - \left( 3x - 7y + 9 \right)\]
\[ = \left[ 5 - 5x + 3y \right] - \left( 3x - 7y + 9 \right)\]
\[ = 5 - 5x + 3y - 3x + 7y - 9\]
\[ = 5 - 9 - 5x - 3x + 3y + 7y\]
\[ = - 4 - 8x + 10y\]
RELATED QUESTIONS
State whether a given pair of term is of like or unlike term.
−29x, −29y
Take away:
\[\frac{6}{5} x^2 - \frac{4}{5} x^3 + \frac{5}{6} + \frac{3}{2}x \text { from }\frac{x^3}{3} - \frac{5}{2} x^2 + \frac{3}{5}x + \frac{1}{4}\]
Take away:
\[\frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \text { from } \frac{1}{3} a^3 - \frac{3}{4} a^2 - \frac{5}{2}\]
Take away:
\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]
If the area of a square is 36x4y2 then, its side is ____________
2pq and – 7qp are like terms
Identify the like terms among the following:
7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z
Like term as 4m3n2 is ______.
The product of two terms with unlike signs is a ______ term.
Which of the following pairs represents "like terms"?
