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In the proof of the Law of Cosines, the equation [tex]c^2=h^2+(b-x)^2[/tex] was created using the Pythagorean theorem. Which equation is a result of expanding [tex](b-x)^2[/tex]?
A [tex]c^2=h^2+b^2-x^2[/tex]
B [tex]c^2=h^2+b^2-2bx+x^2[/tex]
C [tex]c^2=h^2+b^2+x^2[/tex]
D [tex]c^2=h^2+b^2-2bx-x^2[/tex]

Respuesta :

sqdancefan

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Answer:

  B  c² = h² + b² -2bx +x²

Step-by-step explanation:

The square of the binomial can be expanded using the distributive property:

  c² = h² +(b -x)²

  c² = h² +(b -x)(b -x)

  c² = h² +b(b -x) -x(b -x)

  c² = h² +b² -xb -bx +x²

  c² = h² +b² -2bx +x² . . . . . matches choice B