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:
(−5xy) × (−3x2yz)
Find each of the following product: \[( - 7xy) \times \left( \frac{1}{4} x^2 yz \right)\]
Find the value of (5x6) × (−1.5x2y3) × (−12xy2) when x = 1, y = 0.5.
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Multiply:
16xy × 18xy
