Advertisements
Advertisements
प्रश्न
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Advertisements
उत्तर
To simplify, we will use distributive law as follows:
\[a^2 b\left( a^3 - a + 1 \right) - ab\left( a^4 - 2 a^2 + 2a \right) - b\left( a^3 - a^2 - 1 \right)\]
\[ = a^5 b - a^3 b + a^2 b - a^5 b + 2 a^3 b - 2 a^2 b - a^3 b + a^2 b + b\]
\[ = a^5 b - a^5 b - a^3 b + 2 a^3 b - a^3 b + a^2 b - 2 a^2 b + a^2 b + b\]
\[ = b\]
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(5x + 3) by (7x + 2)
Multiply:
(a − 1) by (0.1a2 + 3)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
a2b2(a + 2b)(3a + b)
What is the result of 2y(3y² − 4y + 5)?
