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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.
`-7x, 5/2 x`
State whether a given pair of term is of like or unlike term.
−29x, −29y
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:
\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]
Find the product of the terms
−2mn, (2m)2, −3mn
If the area of a square is 36x4y2 then, its side is ____________
In an expression, we can add or subtract only ________
The product of two negative terms is a negative term.
In like terms, variables and their powers are the same.
Which set contains unlike terms?
