Question

Simplify :
i) $\frac{-14x^8{y}^5+21x^{10}y-28x^7{y}^6}{7x^7{y}^8}$
ii) $\frac{15a^4{x}^8-30a^7{x}^5-45a^6{x}^6}{20a^{14}{x}^5}$
iii) $\frac{-60x^4{a}^5-75x^3{a}^6+8x^5{a}^4}{-20x^8{a}^4}$

Answer 1

i) $\frac{-14x^8{y}^5+21x^{10}y-28x^7{y}^6}{7x^7{y}^8}$ $=-\frac{2x}{y^3}+\frac{3x^3}{y^7}-\frac{4}{y^2}$

$=\frac{1}{y^2}(\frac{-2x}{y}+\frac{3x^3}{y^5}-4)$

ii) $\frac{15a^4{x}^8-30a^7{x}^5-45a^6{x}^6}{20a^{14}{x}^5}$$=\frac{3x^3}{4a^{10}}-\frac{6}{4a^7}-\frac{9x}{4a^8}$

$=\frac{3}{4a^7}(\frac{x^3}{a^3}-2-\frac{3x}{a})$

iii) $\frac{-60x^4{a}^5-75x^3{a}^6+8x^5{a}^4}{-20x^8{a}^4}$$=(\frac{3a}{x^4}+\frac{15a^2}{4x^5}-\frac{2}{5x^3})$