Advertisements
Advertisements
Question
Simplify:
a2b2(a + 2b)(3a + b)
Solution
To simplify, we will proceed as follows:
\[a^2 b^2 \left( a + 2b \right)\left( 3a + b \right)\]
\[ = \left[ a^2 b^2 \left( a + 2b \right) \right]\left( 3a + b \right)\]
\[ = \left( a^3 b^2 + 2 a^2 b^3 \right)\left( 3a + b \right)\]
\[ = 3a\left( a^3 b^2 + 2 a^2 b^3 \right) + b\left( a^3 b^2 + 2 a^2 b^3 \right)\]
\[ = 3 a^4 b^2 + 6 a^3 b^3 + a^3 b^3 + 2 a^2 b^4 \]
\[ = 3 a^4 b^2 + 7 a^3 b^3 + 2 a^2 b^4\]
Thus, the answer is \[3 a^4 b^2 + 7 a^3 b^3 + 2 a^2 b^4\] .
APPEARS IN
RELATED QUESTIONS
Find each of the following product:
(−4x2) × (−6xy2) × (−3yz2)
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
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: 3a2 + 2(a + 2) − 3a(2a + 1)
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
x2(x − y) y2(x + 2y)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
