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प्रश्न
Simplify the following:
\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]
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उत्तर
\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]
\[ = \frac{1}{3} y^2 - \frac{4}{7}y + 11 - \frac{1}{7}y + 3 - 2 y^2 - \frac{2}{7}y + \frac{2}{3} y^2 - 2\]
\[= \frac{1}{3} y^2 - 2 y^2 + \frac{2}{3} y^2 - \frac{4}{7}y - \frac{1}{7}y - \frac{2}{7}y + 11 + 3 - 2\]
(Collecting like terms)
= \[\left( \frac{1 - 6 + 2}{3} \right) y^2 + \left( \frac{- 4 - 1 - 2}{7} \right)y + 12\]
\[= - y^2 - 7y + 12\] (Combining like terms)
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
1,100
State whether a given pair of term is of like or unlike term.
14xy, 42yx
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:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
Take away:
\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]
Simplify the following:
x2 − 3x + 5 − \[\frac{1}{2}\] (3x2 − 5x + 7)
If the area of a square is 36x4y2 then, its side is ____________
Which of the following is a pair of like terms?
Like terms in the expression n(n + 1) + 6(n – 1) are ______ and ______.
5a and 5b are unlike terms.
