## Calculus with Applications (10th Edition)

${(x^{2}+1)}^\frac{-1}{2}\times(x+5+3x^{2})$
${(x^{2}+1)}^\frac{-1}{2}\times(x+2)+3{(x^{2}+1)}^\frac{1}{2}$ 1. Factor out ${(x^{2}+1)}^\frac{-1}{2}$ from the expression: ${(x^{2}+1)}^\frac{-1}{2}\times(x+2+3(x^{2}+1))$ 2. Distribute 3 through the parenthesis: ${(x^{2}+1)}^\frac{-1}{2}\times(x+2+3x^{2}+3)$ 3. Combine like terms to get your answer: ${(x^{2}+1)}^\frac{-1}{2}\times(x+5+3x^{2})$