Advertisements
Advertisements
Question
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Solution
To multiply, we will use distributive law as follows:
\[\left( 3 x^2 + y^2 \right)\left( 2 x^2 + 3 y^2 \right)\]
\[ = 3 x^2 \left( 2 x^2 + 3 y^2 \right) + y^2 \left( 2 x^2 + 3 y^2 \right)\]
\[ = 6 x^4 + 9 x^2 y^2 + 2 x^2 y^2 + 3 y^4 \]
\[ = 6 x^4 + 11 x^2 y^2 + 3 y^4\]
Thus, the answer is \[6 x^4 + 11 x^2 y^2 + 3 y^4\].
APPEARS IN
RELATED QUESTIONS
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 (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Find the following product:
4.1xy(1.1x − y)
Multiply:
(5x + 3) by (7x + 2)
Multiply:
(7x + y) by (x + 5y)
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Multiply:
(x2 + y2) by (3a + 2b)
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Simplify : (m2 − n2m)2 + 2m3n2
