To expand and simplify the expression 2(x² + 5x + 4) - (x² - x + 9) , we will first use the distributive property to expand each term, and then combine like terms.
Steps:
1. Expand 2(x² + 5x + 4):
①Multiply 2 by x²: 2⋅x²=2x²
②Multiply 2 by 5x: 2⋅5x=10x
③Multiply 2 by 4: 2⋅4=8
So, 2(x² + 5x + 4)= 2x² +10x+8
2. Expand - (x² - x + 9):
Distribute the negative sign to each term inside the parentheses:
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