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 \[- \frac{x^2}{2} - \frac{x}{2} + \frac{3}{2}\].
APPEARS IN
संबंधित प्रश्न
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:
[5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)
The missing terms in the product −3m3n × 9(__) = _________ m4n3
In the expression 25m + 14n, the type of the terms are ________ terms
Choose the pair of like terms
Like term as 4m3n2 is ______.
The product of two negative terms is a negative term.
The unlike terms in perimeters of following figures are ______ and ______.
Which option correctly identifies a constant and a variable?
