Advertisements
Advertisements
Question
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Advertisements
Solution
To multiply, we will use distributive law as follows:
\[\left( 2 x^2 y^2 - 5x y^2 \right)\left( x^2 - y^2 \right)\]
\[ = 2 x^2 y^2 \left( x^2 - y^2 \right) - 5x y^2 \left( x^2 - y^2 \right)\]
\[ = 2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4 \]
Thus, the answer is \[2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4\] .
APPEARS IN
RELATED QUESTIONS
Find each of the following product: \[( - 7xy) \times \left( \frac{1}{4} x^2 yz \right)\]
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Find the following product:
0.1y(0.1x5 + 0.1y)
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
(2xy + 3y2) (3y2 − 2)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Solve:
(3x + 2y)(7x − 8y)
