Question

Find the result of multiplying the algebraic expression using vertical method for the following:

Answer 1

`(4)/(16)=(4:4)/(16:4)=(1)/(4)\\\\(25)/(5)=5\\\\\left((4)/(16)a^2b^2+(25)/(5)\right)\left(a^2b^2-(1)/(2)\right)=\left((1)/(4)a^2b^2+5\right)\left(a^2b^2-(1)/(2)\right)\\\\.\qquad\qquad(1)/(4)a^2b^2+5\\\underline{.*\qquad\ \ \ \ \ a^2b^2-(1)/(2)}\\.\qquad\ \ \ \ -(1)/(8)a^2b^2-(5)/(2)\\\underline{+\ \ (1)/(4)a^4b^4+5a^2b^2\ \ \ \ \ }\\\boxed{(1)/(4)a^4b^4+4(7)/(8)a^2b^2-(5)/(2)}`