Advertisements
Advertisements
Question
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Advertisements
Solution
To simplify, we will proceed as follows:
\[\left( x^2 - 2 y^2 \right)\left( x + 4y \right) x^2 y^2 \]
\[ = \left[ x^2 \left( x + 4y \right) - 2 y^2 \left( x + 4y \right) \right] x^2 y^2 \]
\[ = \left( x^3 + 4 x^2 y - 2x y^2 - 8 y^3 \right) x^2 y^2 \]
\[ = x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\]
Thus, the answer is \[x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\].
RELATED QUESTIONS
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Simplify: a(b − c) − b(c − a) − c(a − b)
Multiply:
(2x2 − 1) by (4x3 + 5x2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Solve the following equation.
6x − 1 = 3x + 8
Which formula represents multiplication of powers with the same base?
