Advertisements
Advertisements
प्रश्न
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Advertisements
उत्तर
To find the product, we will use distributive law as follows:
\[\frac{4}{3}a\left( a^2 + b^2 - 3 c^2 \right)\]
\[ = \frac{4}{3}a \times a^2 + \frac{4}{3}a \times b^2 - \frac{4}{3}a \times 3 c^2 \]
\[ = \frac{4}{3} a^{1 + 2} + \frac{4}{3}a b^2 - 4a c^2 \]
\[ = \frac{4}{3} a^3 + \frac{4}{3}a b^2 - 4a c^2\]
Thus, the answer is \[\frac{4}{3} a^3 + \frac{4}{3}a b^2 - 4a c^2\].
संबंधित प्रश्न
Find each of the following product:
(−5xy) × (−3x2yz)
Find each of the following product:
\[\left( - \frac{2}{7} a^4 \right) \times \left( - \frac{3}{4} a^2 b \right) \times \left( - \frac{14}{5} b^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
xy(x3 − y3)
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Simplify: a2b(a − b2) + ab2(4ab − 2a2) − a3b(1 − 2b)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
What is the product of 3x and 4x²?
