Question

Multiply the monomial by the binomial and find the value for x = −1, y = 0.25 and z = 0.05: z²(x − y)

Answer 1

 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:​

\[x z^2 - y z^2 \]

\[ = \left( - 1 \right) \left( 0 . 05 \right)^2 - \left( 0 . 25 \right) \left( 0 . 05 \right)^2 \]

\[ = \left( - 1 \right)\left( 0 . 0025 \right) - \left( 0 . 25 \right)\left( 0 . 0025 \right)\]

\[ = - 0 . 0025 - 0 . 000625\]

\[ = - 0 . 003125\]