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Exercise

$9y^2-10y+25$

Step-by-step Solution

Learn how to solve completing the square problems step by step online. Factor the expression 9y^2-10y+25. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (9) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial y^2+-\frac{10}{9}y+\frac{25}{81}. Multiply the fraction and term in - \frac{5}{9}.
Factor the expression 9y^2-10y+25

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Final answer to the exercise

$9\left(y-\frac{5}{9}\right)^2+\frac{200}{9}$

Try other ways to solve this exercise

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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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Similar Questions Solved

$x^2+10x+100$

$x^2+5x+25$

$x^2+10x-25$

$x^2-10x+5$

$x^2+12x+6$

$m^2-4m-4$

$x^2+18x+9$

Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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