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  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

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2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

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3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

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4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

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5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

cluster sampling.

step-by-step explanation: