Final: The Big Tidy

Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 61 of 64.

Two binomial products joined by a plus: expand each one, then collect across the whole line. Keep the four products of each expansion in their own row and the collection at the end stays easy.

Challenge

Hard

Simplify (x+1)(x+3) + (x+4)(x+5).

Try it yourself

(x+1)(x+3) + (x+4)(x+5)

Simplify the expression

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Exponents & Polynomials

2The Product Rule

Multiplying Same Bases With Coefficients More Than Two Factors The Rule in Letters Recap: The Product Rule

5Product and Quotient Powers

Every Factor Gets the Power With a Number Inside A Power of a Quotient All Three Rules Together Recap: Products and Quotients

8What a Polynomial Is

Terms with Powers The Degree Like Terms, Only Stronger Recap: Meet the Polynomials

11Dividing by a Monomial

Splitting the Fraction Dividing by a Variable Term Bigger Splits Cancel with Care Recap: Dividing

3The Quotient Rule

Dividing Same Bases Why Exponents Subtract With Coefficients The Rule in Letters Recap: The Quotient Rule

6Zero and Negative Exponents

The Zero Exponent Zero at Work Negative Means Reciprocal Writing Without Negatives Powers of Ten Recap: Zero and Negative

9Adding and Subtracting

Adding Polynomials Subtracting Polynomials The Minus Reaches Everything Perimeter as a Polynomial Recap: Add and Subtract

12Final Challenges

Final: Three Rules, One Line Final: Scientific NotationFinal: The Big TidyFinal: Area, Modeled Final: Area, Expanded Final: Divide and Conquer