Perform the operation.

(-5x^2 + 5x - 5) - (3x^3+ x)

To perform the operation, we will subtract each term individually:

First, subtract the x^3 terms: -5x^2 - (-3x^3) = -5x^2 + 3x^3

Then, subtract the x term: 5x - x = 4x

Finally, subtract the constant terms: -5 - 0 = -5

Therefore, the result of the operation is:

4x^3 - 5x^2 + 4x - 5

subtract -9x^2 + 4x from -8x^2 + 8x - 10

To subtract -9x^2 + 4x from -8x^2 + 8x - 10, we need to change the signs of each term in -9x^2 + 4x and then add them to the corresponding terms of -8x^2 + 8x - 10.

So, the result of the operation is:

(-8x^2 + 8x - 10) - (-9x^2 + 4x)

= -8x^2 + 8x - 10 + 9x^2 - 4x

= (-8x^2 + 9x^2) + (8x - 4x) - 10

= x^2 + 4x - 10

Therefore, the result of the operation is x^2 + 4x - 10.

Use multiplication to fully expand the expression below.

A^5 c^2

To fully expand the expression A^5 c^2, we need to multiply the variables A and c together, and also raise each variable to the power of 5 and 2, respectively.

Therefore, the fully expanded expression is:

(A^5) * (c^2) = (A * A * A * A * A) * (c * c)

= A^5 * c^2

= A * A * A * A * A * c * c

= AAAAA * cc

= AAAAAcc

So, the fully expanded expression is AAAAAcc.

Simplify

(x^4)^5

To simplify (x^4)^5, we need to raise x^4 to the power of 5. This means we will multiply the exponents:

(x^4)^5 = x^(4*5) = x^20

So, the simplified expression is x^20.

Use multiplication to expand the expression below. Then compute and/or simplify.

(3y)^5

Press the • button or type the * symbol on your keyboard to represent multiplication. Usin multiplication is inappropriate when x may be used as a variable. For the answer, type the use the a" button or type the ^ symbol for an exponent.

Expanded form:

Answer:

The expanded form of (3y)^5 is:

(3y)^5 = (3y)(3y)(3y)(3y)(3y)

Simplifying further:

= 3^5 * y^5

= 243y^5

Therefore, the expanded form of (3y)^5 is 243y^5.

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