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प्रश्न
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
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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:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Find the following product:
2a3(3a + 5b)
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Multiply:
(7x + y) by (x + 5y)
Multiply:
(x6 − y6) by (x2 + y2)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
What is the product of (x + 3) and (x − 5)?
