egracer
  • egracer
The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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midhun.madhu1987
  • midhun.madhu1987
4x2 − 12x + 9 = (2x)^2 - 2 * 2x * 3 + 3^2 = ?
egracer
  • egracer
do i combine like terms or?
midhun.madhu1987
  • midhun.madhu1987
The above equation is of the a^2 - 2ab + b^2 So what is the factor?

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egracer
  • egracer
how do I know what the factor is? like how do i find it
midhun.madhu1987
  • midhun.madhu1987
a^2 - 2ab + b^2 this is the expansion of which expression??
hybrik
  • hybrik
For this, this is a perfect square trinomial
hybrik
  • hybrik
4x2 − 12x + 9, Look at the first term and last term, the formula for this is \[a^2 + 2ab + b^2\]
egracer
  • egracer
4x2-12X+9
hybrik
  • hybrik
To factor this, you need to knowthe square root of 4x^2 and 9, Do you know what they are?
egracer
  • egracer
3

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