Advertisements
Advertisements
Question
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Advertisements
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
Find each of the following product:
\[\left( - \frac{1}{27} a^2 b^2 \right) \times \left( \frac{9}{2} a^3 b^2 c^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Evaluate (−8x2y6) × (−20xy) for x = 2.5 and y = 1.
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Multiply:
(x6 − y6) by (x2 + y2)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Simplify : (m2 − n2m)2 + 2m3n2
What is the product of 3x and 4x²?
