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प्रश्न
Simplify the following:
x2 − 3x + 5 − \[\frac{1}{2}\] (3x2 − 5x + 7)
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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.
`-7x, 5/2 x`
State whether a given pair of term is of like or unlike term.
4m2p, 4mp2
Take away:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
The missing terms in the product −3m3n × 9(__) = _________ m4n3
Sum of a – b + ab, b + c – bc and c – a – ac is ______.
The product of two terms with unlike signs is a ______ term.
The product of two negative terms is a negative term.
123x2y – 138x2y is a like term of ______.
–5a2b and –5b2a are ______ terms.
The unlike terms in perimeters of following figures are ______ and ______.
