Advertisements
Advertisements
Question
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Advertisements
Solution
To find the product, we will use distributive law as follows:
\[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
\[ = \frac{7}{5} x^2 y \times \frac{3}{5}x y^2 + \frac{7}{5} x^2 y \times \frac{2}{5}x\]
\[ = \frac{21}{25} x^{2 + 1} y^{1 + 2} + \frac{14}{25} x^{2 + 1} y\]
\[ = \frac{21}{25} x^3 y^3 + \frac{14}{25} x^3 y\]
Thus, the answer is \[\frac{21}{25} x^3 y^3 + \frac{14}{25} x^3 y\].
RELATED QUESTIONS
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Find the following product:
2a3(3a + 5b)
Simplify: x(x + 4) + 3x(2x2 − 1) + 4x2 + 4
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify:
x2(x − y) y2(x + 2y)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Multiply:
(4x + 5y) × (9x + 7y)
What is the result of 2y(3y² − 4y + 5)?
