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Addition and Subtraction of Algebraic Expression

The value of ...

Question

The value of $(\frac{8}{5} x^{3} - \frac{3}{2} x^{2} - 1) - (\frac{3}{5} x^{3} + \frac{1}{2} x^{2} - 3 x + 2)$ is

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Solution

We have,
$(\frac{8}{5} x^{3} - \frac{3}{2} x^{2} - 1) - (\frac{3}{5} x^{3} + \frac{1}{2} x^{2} - 3 x + 2)$

$\Rightarrow \frac{8}{5} x^{3} - \frac{3}{2} x^{2} - 1 - \frac{3}{5} x^{3} - \frac{1}{2} x^{2} + 3 x - 2$

$\Rightarrow \frac{8 - 3}{5} x^{3} - \frac{3 + 1}{2} x^{2} + 3 x - 2 - 1$

$\Rightarrow \frac{5}{5} x^{3} - \frac{4}{2} x^{2} + 3 x - 3$

$\Rightarrow x^{3} - 2 x^{2} + 3 x - 3$

Hence, this is the answer.

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Similar questions

5 x^{3} + 2 x^{2} - 3 x

Q. Add the following polynomials:

7 - \frac{5}{6} x^{4} - \frac{1}{5} x^{3} + x^{2}

4 - \frac{1}{6} x^{4} + \frac{4}{5} x^{3} + \frac{3}{2} x^{2}

Q. Find the remainder if

x - 1

5 x^{3} - 2 x^{2} + 3 x - 22

Q. Match the following.

	Column - I		Column - II
(P)	$(x^{2} + 5) (x^{3} + 3) + 5$	(1)	${- x}^{3} - 3 x^{2} + 3 x + 2$
(Q)	$(\frac{- 10}{3} x y^{3}) \times (\frac{6}{5} x^{3} y)$	(2)	$- x^{3} + x^{2} + 3 x - 6$
(R)	$(x^{3} - x^{2} - x - 2) - (2 x^{3} + 2 x^{2} - 4 x - 4)$	(3)	$x^{5} + 5 x^{3} + 3 x^{2} + 20$
(S)	$(x^{3} - x^{2} - x - 2) + (2 x^{2} - 2 x^{3} + 4 x - 4)$	(4)	$- 4 x^{4} y^{4}$

f (x) = 2 x^{4} - 5 x^{3} + x^{2} + 3 x - 2

is divisible by

g (x)

the quotient is

q (x) = 2 x^{2} - 5 x + 3

r (x) = - 2 x + 1

g (x)

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