Advertisements
Advertisements
Question
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Advertisements
Solution
To simplify, we will use distributive law as follows:
\[2 x^2 \left( x^3 - x \right) - 3x\left( x^4 + 2x \right) - 2\left( x^4 - 3 x^2 \right)\]
\[ = 2 x^5 - 2 x^3 - 3 x^5 - 6 x^2 - 2 x^4 + 6 x^2 \]
\[ = 2 x^5 - 3 x^5 - 2 x^4 - 2 x^3 - 6 x^2 + 6 x^2 \]
\[ = - x^5 - 2 x^4 - 2 x^3\]
RELATED QUESTIONS
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
Find the value of (5x6) × (−1.5x2y3) × (−12xy2) when x = 1, y = 0.5.
Find the following product:
−11a(3a + 2b)
Multiply:
(x6 − y6) by (x2 + y2)
Multiply:
(x2 + y2) by (3a + 2b)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
x2(x − y) y2(x + 2y)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Multiply:
16xy × 18xy
