Advertisements
Advertisements
प्रश्न
Simplify the following:
x2 − 3x + 5 − \[\frac{1}{2}\] (3x2 − 5x + 7)
Advertisements
उत्तर
\[ x^2 - 3x + 5 - \frac{1}{2}\left( 3 x^2 - 5x + 7 \right)\]
\[ = x^2 - 3x + 5 - \frac{3 x^2}{2} + \frac{5x}{2} - \frac{7}{2}\]
\[ = x^2 - \frac{3 x^2}{2} - 3x + \frac{5x}{2} + 5 - \frac{7}{2} (\text { Collecting like terms })\]
\[ = \left( \frac{1 - 3}{2} \right) x^2 + \left( \frac{- 3 + 5}{2} \right)x + \left( \frac{10 - 7}{2} \right)\]
\[ = - \frac{x^2}{2} - \frac{x}{2} + \frac{3}{2}\]
Thus, the answer is \[- \frac{x^2}{2} - \frac{x}{2} + \frac{3}{2}\].
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
12xz, 12x2z2
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
The missing terms in the product −3m3n × 9(__) = _________ m4n3
2pq and – 7qp are like terms
The product of two negative terms is a negative term.
The product of one negative and one positive term is a negative term.
Which of the following is a pair of like terms?
The unlike terms in perimeters of following figures are ______ and ______.
Which of the following pairs represents "like terms"?
