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प्रश्न
Find the following product:
0.1y(0.1x5 + 0.1y)
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उत्तर
To find the product, we will use distributive law as follows:
\[0 . 1y\left( 0 . 1 x^5 + 0 . 1y \right)\]
\[ = \left( 0 . 1y \right)\left( 0 . 1 x^5 \right) + \left( 0 . 1y \right)\left( 0 . 1y \right)\]
\[ = \left( 0 . 1 \times 0 . 1 \right)\left( y \times x^5 \right) + \left( 0 . 1 \times 0 . 1 \right)\left( y \times y \right)\]
\[ = \left( 0 . 1 \times 0 . 1 \right)\left( x^5 \times y \right) + \left( 0 . 1 \times 0 . 1 \right)\left( y^{1 + 1} \right)\]
\[ = 0 . 01 x^5 y + 0 . 01 y^2\]
Thus, the answer is \[0 . 01 x^5 y + 0 . 01 y^2\].
संबंधित प्रश्न
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Find the following product:
2a3(3a + 5b)
Find the following product:
−5a(7a − 2b)
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(x2 + y2) by (3a + 2b)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Simplify:
(5x + 3)(x − 1)(3x − 2)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
