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: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Find the following product:
2a3(3a + 5b)
Find the following product:
−11y2(3y + 7)
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify: a(b − c) + b(c − a) + c(a − b)
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Multiply:
(5x + 3) by (7x + 2)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
