** Final answer to the problem

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** Step-by-step Solution **

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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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The product of two binomials of the form $(x+a)(x+b)$ is equal to the product of the first terms of the binomials, plus the algebraic sum of the second terms by the common term of the binomials, plus the product of the second terms of the binomials. In other words: $(x+a)(x+b)=x^2+(a+b)x+ab$

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$x^2+\left(2-1\right)x+2\cdot -1+26<\left(x+4\right)\left(x+5\right)$

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (x+2)(x-1)+26<(x+4)(x+5). The product of two binomials of the form (x+a)(x+b) is equal to the product of the first terms of the binomials, plus the algebraic sum of the second terms by the common term of the binomials, plus the product of the second terms of the binomials. In other words: (x+a)(x+b)=x^2+(a+b)x+ab. Subtract the values 2 and -1. Multiply 2 times -1. Subtract the values 26 and -2.

** Final answer to the problem

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