Advertisements
Advertisements
Question
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Advertisements
Solution
To simplify, we will use distributive law as follows:
\[a^2 b\left( a^3 - a + 1 \right) - ab\left( a^4 - 2 a^2 + 2a \right) - b\left( a^3 - a^2 - 1 \right)\]
\[ = a^5 b - a^3 b + a^2 b - a^5 b + 2 a^3 b - 2 a^2 b - a^3 b + a^2 b + b\]
\[ = a^5 b - a^5 b - a^3 b + 2 a^3 b - a^3 b + a^2 b - 2 a^2 b + a^2 b + b\]
\[ = b\]
RELATED QUESTIONS
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Simplify : (m2 − n2m)2 + 2m3n2
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Multiply:
16xy × 18xy
