Advertisements
Advertisements
Question
(2xy + 3y2) (3y2 − 2)
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 \[9 y^4 + 6x y^3 - 6 y^2 - 4xy\].
APPEARS IN
RELATED QUESTIONS
Find each of the following product:
5x2 × 4x3
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Multiply:
(2x + 8) by (x − 3)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Multiply:
(4x + 5y) × (9x + 7y)
Solve the following equation.
5(x + 1) = 74
