Simplify 4(x^2-3x+5)-3(x^2-2x+1)

Problem

4*(x2−3*x+5)−3*(x2−2*x+1)

Solution

1. Distribute the constant 4 into the first set of parentheses by multiplying it with each term inside.

4*x2−12*x+20

2. Distribute the constant −3 into the second set of parentheses, ensuring the negative sign is applied to every term.

−3*x2+6*x−3

3. Combine the two resulting expressions into a single polynomial.

4*x2−12*x+20−3*x2+6*x−3

4. Group the like terms together: the x2 terms, the x terms, and the constant terms.

(4*x2−3*x2)+(−12*x+6*x)+(20−3)

5. Simplify each group by performing the addition or subtraction.

x2−6*x+17

Final Answer

4*(x2−3*x+5)−3*(x2−2*x+1)=x2−6*x+17

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