You start at (4, 6). You move up 4 units and down 8 units. Where do you end?

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (4, 6)

Up 4 units:

(4, 6 + 4) = (4, 10)

Down 8 units:

(4, 10 - 8) = (4, 2)

You end up at point (4, 2)

The product of the expression is

Explanation:

The expression is

Let us simplify the expression by multiplying the first two terms.

Thus, we have,

First, multiplying the coefficients, we get,

Since, the base x is common for both the terms, we can add the exponent.

Thus, we get,

Thus, the simplification of the first two terms, we have,

Similarly, we shall multiply the terms , we get,

Multiplying the coefficients, we have,

Adding the exponents, we have,

Thus, this gives

Hence, the product of the expression is