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 i…

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asked Sep 19, 2023 112k views

1 Answer

Ankit Deshpande · Answer 1 · 2023-09-25T20:48:08+0000

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