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Exercise

$\frac{3\left(sinx+cosx\right)^2-3}{sin^2x}$

Step-by-step Solution

1

Factor $3\left(\sin\left(x\right)+\cos\left(x\right)\right)^2-3$ by the greatest common divisor $3$

$\frac{3\left(\left(\sin\left(x\right)+\cos\left(x\right)\right)^2-1\right)}{\sin\left(x\right)^2}$

Final answer to the exercise

$\frac{3\left(\left(\sin\left(x\right)+\cos\left(x\right)\right)^2-1\right)}{\sin\left(x\right)^2}$

Try other ways to solve this exercise

  • Choose an option
  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$\frac{2+tan^2x}{sec^2x}-1$

$\frac{1+\tan\left(x\right)}{1+\cot\left(x\right)}$

$\frac{sin\left(x\right)}{cos\left(x\right)}+\frac{cos\left(x\right)}{sin\left(x\right)}$

Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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