Advertisements
Advertisements
Question
(2xy + 3y2) (3y2 − 2)
Advertisements
Solution
To multiply, we will use distributive law as follows:
\[\left( 2xy + 3 y^2 \right)\left( 3 y^2 - 2 \right)\]
\[ = 2xy\left( 3 y^2 - 2 \right) + 3 y^2 \left( 3 y^2 - 2 \right)\]
\[ = 6x y^3 - 4xy + 9 y^4 - 6 y^2 \]
\[ = 9 y^4 + 6x y^3 - 6 y^2 - 4xy\]
Thus, the answer is \[9 y^4 + 6x y^3 - 6 y^2 - 4xy\].
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: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
xy(x3 − y3)
Find the following product:
1.5x(10x2y − 100xy2)
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Multiply:
(5x + 3) by (7x + 2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(5x + 3)(x − 1)(3x − 2)
