Question

1)8x^2y^4*(-3x/4y^3)
2)-18x^2y^2/5ab:6xy^3/5a^2b^2
3)16a^2b^3:(-20a^5b^4/3x^2y)
4)-25x^4y^3/14m^2*(-21mn/10x^3y^2)
5)a^2-ab/b*b^2/a
6)ab+b^2/9*3a/b^2

Answer 1

$1) 8x^2y^4*(- frac{3x}{4y^3} )=- 6x^3y$
$2) - frac{18x^2y^2}{5ab} : frac{6xy^3}{5a^2b^2}=- frac{18x^2y^2*5a^2b^2}{5ab*6xy^3} = - frac{3abx}{y}$
$3) 16a^2b^3:(- frac{20a^5b^4}{3x^2y} )=- frac{16a^2b^3*3x^2y}{20a^5b^4} =- frac{12x^2y}{5a^3b}$
$4)- frac{25x^4y^3}{14m^2} *(- frac{21mn}{10x^3y^2} )=- frac{25x^4y^3*21mn}{14m^2*10x^3y^2}=- frac{15nxy}{4m}$
$5)a^2- frac{ab}{b} * frac{b^2}{a}= a^{2} - b^{2} =(a-b)*(a+b)$
$6)ab+ frac{b^2}{9} * frac{3a}{b^2} = frac{a}{3} *(3b+1)$