Advertisements
Advertisements
Question
Simplify: a2(2a − 1) + 3a + a3 − 8
Advertisements
Solution
To simplify, we will use distributive law as follows:
\[a^2 \left( 2a - 1 \right) + 3a + a^3 - 8\]
\[ = 2 a^3 - a^2 + 3a + a^3 - 8\]
\[ = 2 a^3 + a^3 - a^2 + 3a - 8\]
\[ = 3 a^3 - a^2 + 3a - 8\]
APPEARS IN
RELATED QUESTIONS
Find each of the following product:
5x2 × 4x3
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
