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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.
12xz, 12x2z2
Take away:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
Simplify the following:
\[\frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
Which of the following is a binomial?
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The unlike terms in perimeters of following figures are ______ and ______.
In like terms, variables and their powers are the same.
5a and 5b are unlike terms.
Which option correctly identifies a constant and a variable?
