Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- FOIL Method
- Product of Binomials with Common Term
- Find the integral
- Find the derivative
- Factor
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
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We can multiply the polynomials $\left(5x^2-3\right)\left(5x^2+3\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$)
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$\begin{matrix}(F\times F)\:=\:(5x^2)(5x^2)\\(O\times O)\:=\:(5x^2)(3)\\(I\times I)\:=\:(-3)(5x^2)\\(L\times L)\:=\:(-3)(3)\end{matrix}$
Learn how to solve problems step by step online. Solve the product (5x^2-3)(5x^2+3). We can multiply the polynomials \left(5x^2-3\right)\left(5x^2+3\right) by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First (F\times F), Outer by Outer (O\times O), Inner by Inner (I\times I), Last by Last (L\times L). Then, combine the four terms in a sum. Substitute the values of the products. Multiply -3 times 3.