Advertisements
Advertisements
प्रश्न
Simplify:
a2b2(a + 2b)(3a + b)
Advertisements
उत्तर
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
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Find the following product:
4.1xy(1.1x − y)
Simplify: a(b − c) + b(c − a) + c(a − b)
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Multiply:
(7x + y) by (x + 5y)
Multiply:
[−3d + (−7f)] by (5d + f)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Multiply:
23xy2 × 4yz2
