Question

25a^3b^3-20a^5b^2+5a^3b^2 gives a new expression of the form U a^x b^y (Wa^2+Vb+Z) where U>0 . What's value of U ,V, x,W,Z,y

Answer 1

Given the expression:

`25a^3b^3-20a^5b^2+5a^3b^2`

Take the common factor:

`5a^3b^2`

So, the expression will be:

`\begin{gathered} 5a^3b^2\cdot(5b-4a^2+1) \\ =5a^3b^2(-4a^2+5b+1) \end{gathered}`

Compare the last result with: U a^x b^y (Wa^2+Vb+Z)

So,

`\begin{gathered} U=5 \\ x=3 \\ y=2 \\ W=-4 \\ V=5 \\ Z=1 \end{gathered}`