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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
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find each of the following product:
\[\left( - \frac{1}{27} a^2 b^2 \right) \times \left( \frac{9}{2} a^3 b^2 c^2 \right)\]
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
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: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Multiply:
(12a + 17b) × 4c
