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Module 7 Show What You Know: Manipulating Expressions from Calculus Objectives: The purpose of this assignment is for you to: 1. Demonstrate your ability to algebraically manipulate expressions from calculus 2. Improve your mathematical writing to include full solutions with justifications 3. Integrate mathematical statements into grammatically correct expositions 4. Communicate the quantitative evidence of the argument Assignment: Algebraically manipulate the following expression: 3(2x+1)$^2$(2)cosx(2x+1)$^3$(4)cos$^2$x(-sinx). Include a detailed explanation for each mathematical step written in grammatically correct com- plete sentences within a 2-column format. Your final answer should follow these guidelines: • Completely factored • Reduced into lowest terms • Single quotient • Only positive exponents and roots

          Module 7 Show What You Know: Manipulating Expressions
from Calculus
Objectives: The purpose of this assignment is for you to:
1. Demonstrate your ability to algebraically manipulate expressions from calculus
2. Improve your mathematical writing to include full solutions with justifications
3. Integrate mathematical statements into grammatically correct expositions
4. Communicate the quantitative evidence of the argument
Assignment: Algebraically manipulate the following expression:
3(2x+1)$^2$(2)cosx(2x+1)$^3$(4)cos$^2$x(-sinx).
Include a detailed explanation for each mathematical step written in grammatically correct com-
plete sentences within a 2-column format. Your final answer should follow these guidelines:
• Completely factored
• Reduced into lowest terms
• Single quotient
• Only positive exponents and roots

Module 7 Show What You Know: Manipulating Expressions
from Calculus
Objectives: The purpose of this assignment is for you to:
1. Demonstrate your ability to algebraically manipulate expressions from calculus
2. Improve your mathematical writing to include full solutions with justifications
3. Integrate mathematical statements into grammatically correct expositions
4. Communicate the quantitative evidence of the argument
Assignment: Algebraically manipulate the following expression:
3(2x+1)^2(2)cosx(2x+1)^3(4)cos^2x(-sinx).
Include a detailed explanation for each mathematical step written in grammatically correct com-
plete sentences within a 2-column format. Your final answer should follow these guidelines:
• Completely factored
• Reduced into lowest terms
• Single quotient
• Only positive exponents and roots

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