SOLVE
Given;
[tex] = \sf \dfrac{ {x}^{2} - 8x + 16}{x - 4} [/tex]
Answer;
x – 4
Solution;
- Factor and cancel common factors to determine the answer.
[tex] = \sf \dfrac{ {x}^{2} - 8x + 16}{x - 4} [/tex]
[tex] = \sf \dfrac{ {x}^{2} - 8x + {4}^{2} }{x - 4} [/tex]
[tex] = \sf \dfrac{(x - 4) {}^{2} }{x - 4} [/tex]
[tex] = \sf \dfrac{( \red x \red- \red4)( x - 4)}{( \red x \red- \red4)(1)} [/tex]
- Cancel the common factor. The red (x–4) are cancelled.
[tex] = \sf \dfrac{x - 4}{1} [/tex]
[tex] = \sf \: \green x \green- \green4 \\ \\ [/tex]
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