What is (p-3)^2+5(p-2) ?

The solution to (p-3)^2+5(p-2) is p^2-p-1

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simplify (p-3)^2+5(p-2)

simplify

(p - 3)^{2} + 5 (p - 2)

p^{2} - p - 1

Solution steps

(p - 3)^{2} + 5 (p - 2)

Expand

(p - 3)^{2} : p^{2} - 6 p + 9

= p^{2} - 6 p + 9 + 5 (p - 2)

Expand

5 (p - 2) : 5 p - 10

= p^{2} - 6 p + 9 + 5 p - 10

Group like terms

= p^{2} - 6 p + 5 p + 9 - 10

Add similar elements:

- 6 p + 5 p = - p

= p^{2} - p + 9 - 10

Subtract the numbers:

9 - 10 = - 1

= p^{2} - p - 1

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