Advertisements
Advertisements
प्रश्न
Simplify: a2b(a − b2) + ab2(4ab − 2a2) − a3b(1 − 2b)
Advertisements
उत्तर
To simplify, we will use distributive law as follows:
\[a^2 b\left( a - b^2 \right) + a b^2 \left( 4ab - 2 a^2 \right) - a^3 b\left( 1 - 2b \right)\]
\[ = a^3 b - a^2 b^3 + 4 a^2 b^3 - 2 a^3 b^2 - a^3 b + 2 a^3 b^2 \]
\[ = a^3 b - a^3 b - a^2 b^3 + 4 a^2 b^3 - 2 a^3 b^2 + 2 a^3 b^2 \]
\[ = 3 a^2 b^3\]
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{- 24}{25} x^3 z \right) \times \left( - \frac{15}{16}x z^2 y \right)\]
Find each of the following product:
(−5a) × (−10a2) × (−2a3)
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:
1.5x(10x2y − 100xy2)
Find the following product:
4.1xy(1.1x − y)
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
(2xy + 3y2) (3y2 − 2)
Solve the following equation.
2(x − 4) = 4x + 2
Solve the following equation.
5(x + 1) = 74
