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sin⁡(x2+3xy)+ln⁡(cos⁡x)−4y2+1=0\sin(x^2+3xy)+\ln (\cos x)-4y^2+1=0

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Factor sums and differences of cubesright chevron icon

Full solution

Q. sin⁡(x2+3xy)+ln⁡(cos⁡x)−4y2+1=0\sin(x^2+3xy)+\ln (\cos x)-4y^2+1=0
  1. Recognize formula: Recognize the sum of cubes formula: a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a + b)(a^2 - ab + b^2).
  2. Apply formula: Apply the formula to t3+u3t^3 + u^3 to find the missing binomial.
  3. Write factorization: Write down the factorization: t3+u3=(t+u)(t2−tu+u2)t^3 + u^3 = (t + u)(t^2 - tu + u^2).
  4. Identify missing binomial: Identify the missing binomial as (t+u)(t + u).

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