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:
\[a^2 b\left( a^3 - a + 1 \right) - ab\left( a^4 - 2 a^2 + 2a \right) - b\left( a^3 - a^2 - 1 \right)\]
\[ = a^5 b - a^3 b + a^2 b - a^5 b + 2 a^3 b - 2 a^2 b - a^3 b + a^2 b + b\]
\[ = a^5 b - a^5 b - a^3 b + 2 a^3 b - a^3 b + a^2 b - 2 a^2 b + a^2 b + b\]
\[ = b\]
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: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
xy(x3 − y3)
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Which formula represents multiplication of powers with the same base?
