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प्रश्न
Find each of the following product:
−3a2 × 4b4
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उत्तर
To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, \[a^m \times a^n = a^{m + n}\],wherever applicable.
We have:
\[- 3 a^2 \times 4 b^4 \]
\[ = \left( - 3 \times 4 \right) \times \left( a^2 \times b^4 \right)\]
\[ = - 12 a^2 b^4\]
Thus, the answer is \[- 12 a^2 b^4\].
संबंधित प्रश्न
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Find the following product:
−11a(3a + 2b)
xy(x3 − y3)
(2xy + 3y2) (3y2 − 2)
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Simplify : (4m − 8n)2 + (7m + 8n)2
Solve the following equation.
5(x + 1) = 74
What is the product of 3x and 4x²?
