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प्रश्न
Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: z2(x − y)
उत्तर
To find the product, we will use distributive law as follows:
\[z^2 \left( x - y \right)\]
\[ = z^2 \times x - z^2 \times y\]
\[ = x z^2 - y z^2\]
Substituting x = \[-\] 1, y = 0.25 and z = 0.05 in the result, we get:
\[x z^2 - y z^2 \]
\[ = \left( - 1 \right) \left( 0 . 05 \right)^2 - \left( 0 . 25 \right) \left( 0 . 05 \right)^2 \]
\[ = \left( - 1 \right)\left( 0 . 0025 \right) - \left( 0 . 25 \right)\left( 0 . 0025 \right)\]
\[ = - 0 . 0025 - 0 . 000625\]
\[ = - 0 . 003125\]
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