If sx = x + 7 and tx = 4x^2 – 3, which expression is equivalent to tsx?

To find an expression equivalent to tsx, we first need to understand what tsx represents. This means we will need to multiply t by sx.

We know that:

• sx = x + 7
• tx = 4x^2 – 3

Now, substituting sx into the expression tsx:

tsx = t(sx) = t(x + 7)

Next, we substitute tx for t:

tsx = (4x^2 - 3)(x + 7)

Now we will distribute:

tsx = 4x^2(x + 7) - 3(x + 7) = 4x^3 + 28x^2 - 3x - 21

Thus, the expression equivalent to tsx is:

4x^3 + 28x^2 - 3x - 21

So, to summarize, to find tsx, we multiplied the expression for t by the expression for sx and simplified it.