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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<u>Step-by-step explanation:</u>

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

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