In Exercises 43—60, add and subtract as indicated. Simplify and leave the numerator and denominator in your answer in factored form. Exercises 57-60 require an LCD.
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College Algebra and Trigonometry (4th Edition)
- In Exercises 112–114, multiply or divide as indicated. x* + 6x + 9 x + 3 112. 3x + x 6x + 2 113. x2 - 4 x - 2 x2 - 1 X - 1 x? - 5x - 24 x2 - 10x + 16 114. x? - x - 12 x? + x - 6arrow_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardMar 26, 10:23:55 AM What must the missing numerator be, given the following simplified expression: x - 8 x2 - 3x - 70 x2 + 2x - 80 ? 1 x + 7 You may leave your answer in factored form. Answer: ? = Submit Answer Privacy Policy Terms of Service Copyright © 2021 DeltaMath.com. All Rights Reserved.arrow_forward
- In Exercises 117–120, factor out the greatest common factor from each expression. 117. 6x2 + 2x² 5 118. 8x4 + 4x4 119. 15.x3 60x 120. 7x - 70xarrow_forwardIn Exercises 129–132, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 129. 9x? + 15x + 25 = (3x + 5) 130. x - 27 = (x – 3)(x² + 6x + 9) 131. x³ – 64 = (x – 4)3 132. 4x2 – 121 = (2x – 11)arrow_forwardWrite 3 + 5 +7 + 9 using sigma notationarrow_forward
- 2 *3 X5 Darboarrow_forwardMake Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forward8x 6x 7. 6.arrow_forward
- In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forward9. Write 1024x10 – 3840x³ + 5760x“ – 4320xª + 1620x² – 243 in the form (a + b)". Show your steps.arrow_forwardFor Exercises 19–22, write each expression as a product. (See Example 3) 20. sin 30+ sin 100arrow_forward
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