# Chapter 0 - Section 0.3 - Multiplying and Factoring Algebraic Expressions - Exercises: 6

$y^{2} +7y+12$

#### Work Step by Step

$(y+3)(y+4)$ 1. Multiply the first terms of each bracket together. $(y)(y) =y^{2}$ 2. Multiply the outermost terms of each bracket together. $(y)(4) = 4y$ 3. Multiply the innermost terms of each bracket together. $(3)(y) = 3y$ 4. Multiply the last terms of each bracket together. $(3)(4) = 12$ 5. Add all answers from steps 1-4 to get $y^{2} +4y+3y+12$. 6. Collect like terms to get $y^{2} +7y+12$.

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