Question

Factoring the expression 24a63 – 20a%b2 + 4a3b2 gives a new expression of the formUa" by (Wa? + Vb+ 2), where U > 0.What is the value of U?1What is the value of W?What is the value of V?What is the value of Z?What is the value of c?What is the value of y?

Answer 1

Given the expression:

`24a^3b^{3\text{ }}-20a^5b^2+4a^3b^2`

Let's first re-arrange the expression:

`-20a^5b^2+24a^3b^{3\text{ }}+4a^3b^2`

Now factorize:

`-4a^3b^2(5a^2\text{ + (-6b) + (-1))}`

Now let's compare with this equation:

`Ua^xb^y(Wa^2+Vb\text{ + Z)}`

We can see that:

The value of U = -4

The value of V = -6

The value of W = 5

The value of Z = -1

The value of x = 3