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Arada [10]
2 years ago
14

Find the product of (x − 5)2. X2 10x 25 x2 − 10x 25 x2 − 25 x2 25.

Mathematics
2 answers:
Serggg [28]2 years ago
4 0

Answer:

x^2 -10x+25

Step-by-step explanation:

(x − 5)^2

(x-5)(x-5)

FOIL

first  x*x = x^2

Outer  -5 *x = -5x

inner  -5*x = -5x

last -5*-5 =25

Add them together   x^2 -5x-5x+25

Combine like terms  x^2 -10x+25

jolli1 [7]2 years ago
4 0

Hey there!

(x - 5)^2

= (x - 5)(x - 5)

= x(x) + x(-5) - 5(x) - 5(-5)

= x(x) - 5(x) - 5(x) - 5(-5)

= x^2 - 5x - 5x + 25


COMBINE the LIKE TERMS

= x^2 - 10x + 25


Therefore, your answer is:

x^2 - 10x + 25


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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<h3>Answer:   450</h3>

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Explanation:

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Let A,B,C,D,E represent the five PE classes.

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If you arrange the letters in a table, you should get 5*6 = 30 different inner boxes of the table. Refer to the diagram below.

Each two letter code in the table represents the 2 class combo. For example, BG means you picked PE class B and history class G.

This idea can be extend to selecting 3 classes. Imagine that each of the codes in the table are laid along the side of a new table. So we'd have a table of 30 rows. Then lay out 5 columns (say with letters L,M,N,O,P) to represent the 5 English classes. You would get a table of 30*5 = 150 different combos here. Of course you shouldn't actually make such a table since it's so large, but I'm simply just saying for you to imagine one. All of the tables mentioned are completely optional. A tree diagram is another way to organize things, though tree diagrams tend to get cumbersome.

Anyway, we would have 5*6*5 = 30*5 = 150 different ways to pick the PE, history and English classes. We can extend this out to include the math classes as well.

-------------------------

In short, all we do is multiply the given values together:

5*6*5*3 = 30*15 = 450

This idea is known as the counting principle.

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