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Algebra: Order of Operations

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1.Apply the Order of Operations to simplify the following expression:
9x[(2x2 - 3x + 7) - (9x3 - 3x2)/3x2]

2.Subtract.

3x4 + 4x3 + 7
- (x4 - 2x3 - x2 - 9x)

3.Simplify the expression, and identify the constants, coefficients, and variables in the simplified expression.

(8w^4 - 6wz + 6wz^2) - (2w^4 + 7wz - 2wz^2)

4.Simplify the expression, and identify the constants, coefficients, and variables in the simplified expression.

3x - y - 5(8x - 3y + 5z)

6.Evaluate.

2x^2-4x/x^3-7, for x = -2.

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Solution Summary

Order of Operations is applied. Operations with polynomials.

Solution Preview

1. 9x(2x^2 -6x+8) =9x*2x^2 - 9x*6x+9x*8 (I used the distribution law)
=18x^3 - 54x^2 + 72x (I multiplied the like terms- numbers with numbers and x's with ...

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