Find the product: 0.1 y (0.1 x^5+0.1 y ) - Vidyadip

Question

Find the product:
$0.1 y\left(0.1 x^5+0.1 y\right)$

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Answer

To find the product, we will use distributive law as follows:
$0.1 y\left(0.1 x^5+0.1 y\right) \\
=(0.1 y)\left(0.1 x^5\right)+(0.1 y)(0.1 y) \\
=(0.1 \times 0.1)\left(y \times x^5\right)+(0.1 \times 0.1)(y \times y) \\
=(0.1 \times 0.1)\left(x^5 \times y\right)+(0.1 \times 0.1)\left(y^{1+1}\right) \\
=0.01 x^5 y+0.01 y^2$
Thus, the answer is $0.01 x^5 y+0.01 y^2$

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