Advertisements
Advertisements
प्रश्न
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Advertisements
उत्तर
To multiply, we will use distributive law as follows:
\[\left( 3 x^2 y - 5x y^2 \right)\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\]
\[ = \frac{1}{5} x^2 \left( 3 x^2 y - 5x y^2 \right) + \frac{1}{3} y^2 \left( 3 x^2 y - 5x y^2 \right)\]
\[ = \frac{3}{5} x^4 y - x^3 y^2 + x^2 y^3 - \frac{5}{3}x y^4\]
Thus, the answer is \[\frac{3}{5} x^4 y - x^3 y^2 + x^2 y^3 - \frac{5}{3}x y^4\].
संबंधित प्रश्न
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Find the following product:
−11a(3a + 2b)
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
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: 2a2 + 3a(1 − 2a3) + a(a + 1)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Multiply:
16xy × 18xy
Solve the following equation.
2(x − 4) = 4x + 2
