Advertisements
Advertisements
प्रश्न
Simplify the following:
\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]
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)
APPEARS IN
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
`-7x, 5/2 x`
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:
\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]
Find the product of the terms
−2mn, (2m)2, −3mn
Find the product of the terms
3x2y , −3xy3, x2y2
2pq and – 7qp are like terms
Choose the pair of like terms
Which of the following is a binomial?
The product of two terms with unlike signs is a ______ term.
3a2b and –7ba2 are ______ terms.
