Advertisements
Advertisements
Question
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Advertisements
Solution
To simplify, we will use distributive law as follows:
\[x^2 \left( x^2 + 1 \right) - x^3 \left( x + 1 \right) - x\left( x^3 - x \right)\]
\[ = x^4 + x^2 - x^4 - x^3 - x^4 + x^2 \]
\[ = x^4 - x^4 - x^4 - x^3 + x^2 + x^2 \]
\[ = - x^4 - x^3 + 2 x^2\]
APPEARS IN
RELATED QUESTIONS
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Find each of the following product:
(7ab) × (−5ab2c) × (6abc2)
Find each of the following product:
(−5a) × (−10a2) × (−2a3)
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Multiply:
(x6 − y6) by (x2 + y2)
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify : (4m − 8n)2 + (7m + 8n)2
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
