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Yuliya22 [10]
3 years ago
14

We want to factor the following expre

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Step-by-step explanation:

(x - 3)^{2}  - 10(x - 3) + 25 \\  = (x - 3)^{2}  - 5(x - 3)  - 5(x - 3)+ 25 \\  = (x - 3) \{(x - 3) - 5 \} - 5 \{(x - 3) - 5 \}  \\  =  \{(x - 3) - 5 \} \{(x - 3) - 5 \}  \\  = (x - 8)(x - 8) \\  \\ another \: way \\  \\ (x - 3)^{2}  - 10(x - 3) + 25   \\ = (x - 3)^{2}  - 2 \times 5 \times (x - 3) +  {5}^{2}  \\  =  \{(x - 3) - 5 \}^{2}  \\  = \{x - 3 - 5 \}^{2}  \\  = \{x - 8 \}^{2} \\  = (x - 8)(x - 8)

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