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Simplify or expand each expression and then Classify it by its degree and number of terms

Simplify Or Expand Each Expression And Then Classify It By Its Degree And Number Of Terms class=

Sagot :

2x^3 (7x^2 + 3x + 1) - 4x^4

multiply 2x^3 in

14x^5 + 6x^4 + 2x^3 - 4x^4

14x^5 + 2x^4 + 2x^3

3 terms, the degree is 5

terms are single expressions such as (2x^3)

the degree is the highest exponent

(6x - 2x^4 + 5x^6) + (7x^4 - 3x^6 + 9)

combine

6x - 2x^4 + 5x^6 + 7x^4 - 3x^6 + 9

simplify

2x^6 + 5x^4 + 6x + 9

4 terms, the degree is 6

(x^2 + 9)(x^2 - 9)

FOIL, (a + b)(c + d) -> ac + ad + bc + bd

x^2 * x^2 + x^2 * -9 + 9 * x^2 + 9 * -9

simplify

x^4 - 81

2 terms, the degree is 4

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