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 \[\frac{3}{5} x^4 y - x^3 y^2 + x^2 y^3 - \frac{5}{3}x y^4\].
APPEARS IN
संबंधित प्रश्न
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find each of the following product:
\[\left( - \frac{2}{7} a^4 \right) \times \left( - \frac{3}{4} a^2 b \right) \times \left( - \frac{14}{5} b^2 \right)\]
Find the following product: \[\left( - \frac{7}{4}a b^2 c - \frac{6}{25} a^2 c^2 \right)( - 50 a^2 b^2 c^2 )\]
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: a(b − c) + b(c − a) + c(a − b)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Show that: (3x + 7)2 − 84x = (3x − 7)2
