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Solve the following.Subtract 92+x2+35x2+74x3\frac{9}{2}+\frac{x}{2}+\frac{3}{5}x^2+\frac{7}{4}x^329​+2x​+53​x2+47​x3​. from 72−x3−15x2\frac{7}{2}-\fra
Question

Solve the following.

Subtract 92+x2+35x2+74x3\frac{9}{2}+\frac{x}{2}+\frac{3}{5}x^2+\frac{7}{4}x^3​. from 72x315x2\frac{7}{2}-\frac{x}{3}-\frac{1}{5}x^2​.

A.

156x+45x2+74x31-\frac{5}{6}x+\frac{4}{5}x^2+\frac{7}{4}x^3​​

B.

156x45x274x3-1-\frac{5}{6}x-\frac{4}{5}x^2-\frac{7}{4}x^3​​

C.

156x45x2+74x31-\frac{5}{6}x-\frac{4}{5}x^2+\frac{7}{4}x^3​​

D.

156x+45x274x31-\frac{5}{6}x+\frac{4}{5}x^2-\frac{7}{4}x^3​​

Correct option is B

Given:

Subtract

92+x2+35x2+74x3\frac{9}{2} + \frac{x}{2} + \frac{3}{5}x^2 + \frac{7}{4}x^3

from

72x315x2\frac{7}{2} - \frac{x}{3} - \frac{1}{5}x^2

Solution:
Result =(72x315x2)(92+x2+35x2+74x3) \left( \frac{7}{2} - \frac{x}{3} - \frac{1}{5}x^2 \right) - \left( \frac{9}{2} + \frac{x}{2} + \frac{3}{5}x^2 + \frac{7}{4}x^3 \right)

=72x315x292x235x274x3 \frac{7}{2} - \frac{x}{3} - \frac{1}{5}x^2 - \frac{9}{2} - \frac{x}{2} - \frac{3}{5}x^2 - \frac{7}{4}x^3

=15x645x274x3= -1 - \frac{5x}{6} - \frac{4}{5}x^2 - \frac{7}{4}x^3

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