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Exercise

$\left[\left(x+y\right)-12\right]^2$

Step-by-step Solution

1

Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$

$x^2+y^2+{\left(-12\right)}^2+2xy+2\cdot -12x+2\cdot -12y$
2

Multiply $2$ times $-12$

$x^2+y^2+{\left(-12\right)}^2+2xy-24x+2\cdot -12y$
3

Multiply $2$ times $-12$

$x^2+y^2+{\left(-12\right)}^2+2xy-24x-24y$
4

Calculate the power ${\left(-12\right)}^2$

$x^2+y^2+144+2xy-24x-24y$

Final answer to the exercise

$x^2+y^2+144+2xy-24x-24y$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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