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For Exercises 12–14, simplify the expression.
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COLLEGE ALGEBRA - ALEKS 360
- In Exercises 14–16, divide as indicated. 14. (12x*y³ + 16x?y³ – 10x²y²) ÷ (4x?y) 15. (9x – 3x2 – 3x + 4) ÷ (3x + 2) 16. (3x4 + 2x3 – 8x + 6) ÷ (x² – 1)arrow_forwardSolving Equations involving Radicals The equation obtained by raising both sides of an equation may have a solution that is not a solution of the original equation. To solve equations involving radicals: 1. Raise both sides of the equations to the appropriate power. 2. Solve the equation that arises. 3. Check for extraneous solutions. Note: In solving equations, we check for extraneous solutions whenever we raise both sides of an equation to a power. Theorem Let A and B be expressions and let n € N. The solution set of the equation A = B is a subset of the solution set of A" = B".arrow_forwardFor Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forward
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