Advertisements
Advertisements
Question
Find the following product:
2a3(3a + 5b)
Advertisements
Solution
To find the product, we will use distributive law as follows:
\[2 a^3 \left( 3a + 5b \right)\]
\[ = 2 a^3 \times 3a + 2 a^3 \times 5b\]
\[ = \left( 2 \times 3 \right)\left( a^3 \times a \right) + \left( 2 \times 5 \right) a^3 b\]
\[ = \left( 2 \times 3 \right) a^{3 + 1} + \left( 2 \times 5 \right) a^3 b\]
\[ = 6 a^4 + 10 a^3 b\]
Thus, the answer is \[6 a^4 + 10 a^3 b\].
RELATED QUESTIONS
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
xy(x3 − y3)
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Simplify: a2(2a − 1) + 3a + a3 − 8
Multiply:
(7x + y) by (x + 5y)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify : (m2 − n2m)2 + 2m3n2
