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Question
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
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Solution
To simplify, we will use distributive law as follows:
\[x^3 y\left( x^2 - 2x \right) + 2xy\left( x^3 - x^4 \right)\]
\[ = x^5 y - 2 x^4 y + 2 x^4 y - 2 x^5 y\]
\[ = x^5 y - 2 x^5 y - 2 x^4 y + 2 x^4 y\]
\[ = - x^5 y\]
RELATED QUESTIONS
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Show that: (3x + 7)2 − 84x = (3x − 7)2
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Multiply:
23xy2 × 4yz2
What is the result of 2y(3y² − 4y + 5)?
