Question

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Answer 1

Answer:

$\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x$

$xy^{2} + \frac{2}{3}y - 8y^{2}z$

Step-by-step explanation:

We have to simplify the followings:  

1) $- \frac{4}{5}x (- 2x + 4y - 5)$

= $- \frac{4}{5}x \times (- 2x) +  - \frac{4}{5}x \times (4y) + - \frac{4}{5}x \times (- 5)$  

{By distributive property of multiplication}

= $\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x$ (Answer)

2) $2y^{2}( \frac{1}{2} x + \frac{2}{6}y - 4z)$

= $2y^{2} \times (\frac{1}{2} x) + 2y^{2} \times ( \frac{2}{6}y) - 2y^{2} \times (4z)$

{By distributive property of multiplication}

= $xy^{2} + \frac{2}{3}y - 8y^{2}z$ (Answer)