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Basic simplifying expressions.Stars rated for the best answer :)?

1.) h+h+h+g+g

2.) 2a + 3b +4a

3.) 9s - 6s + 3t

4.) 9u+v+6u+8v

5.) 9p+2t-2p+3t

6.)14g+5-8g+2

7.) a x b x b

8.) 2d x 5

9.) 6p x 4 x p

10.) 3k x 7k

Update:

Thank you to the people who posted helpful answers

2 Answers

Relevance
  • 6 years ago

    1.

    It's 3 h's added with 2 g's. What do you think?

    3h + 2g

    2.

    6 a's and 3 b's?

    6a + 3b

    ...Let's skip.

    7.

    a * b*b = ab^2

    8.

    Use commutative and associative properties.

    2d * 5 = 2*5 * d = 10d

    9.

    6*4 * p*p = 24p^2

    10.

    3*7 * k*k = 21k^2

  • 6 years ago

    (1)

    h + h + h + g + g

    = 1h + 1h + 1h + 1g + 1g

    = 3h + 2g

    (2)

    2a + 3b + 4a

    = 2a + 4a + 3b

    = 6a + 3b

    Factor out 3

    = 3(2a + b)

    (3)

    9s - 6s + 3t

    = 3s + 3t

    Factor out 3

    = 3(s + t)

    (4)

    9u + v + 6u + 8v

    = 9u + 6u + 1v + 8v

    = 15u + 9v

    Factor out 3

    = 3(5u + 3v)

    (5)

    9p + 2t - 2p + 3t

    = 9p - 2p + 2t + 3t

    = 7p + 5t

    (6)

    14g + 5 - 8g + 5

    = 14g - 8g + 5 + 5

    = 6g + 10

    Factor out 2

    = 2(3g + 5)

    (7)

    a × b × b

    = ab²

    (8)

    2d × 5

    = 10d

    (9)

    6p × 4 × p

    = 24p²

    (10)

    3k × 7k

    = 21k²

    Done!

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