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factoring

  1. math_celebrity

    Factor the following expression: 4a(9b + 7) - 3(9b + 7)

    Factor the following expression: 4a(9b + 7) - 3(9b + 7) The common factor in each term is (9b + 7). Factor this out and we get: (4a - 3)(9b + 7)
  2. math_celebrity

    (4 - a)/(a^2 - 16)

    (4 - a)/(a^2 - 16) (4 - a)/(a + 4)(a - 4) -1(a - 4)/(a + 4)(a - 4) Cancel a- 4 terms -1/(a + 4)
  3. math_celebrity

    5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags

    5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags Let the cost of each book be b and the cost of each bag be c. We're given 5b + 5c = 175 We can factor this as: 5(b + c) = 175 Divide each side of the equation by 5, we get: (b + c) = 35 The problem asks for 2b + 2c Factor...
  4. math_celebrity

    If a+b=16, then what is 3a+3b=

    If a+b=16, then what is 3a+3b= Factor 3a + 3b: 3(a + b) Since we know a+b = 16, we have: 3(16) = 48
  5. math_celebrity

    Besides 8 and 1, what is one factor of 8

    Besides 8 and 1, what is one factor of 8. Using our factor calculator, or entering the shortcut Factor 8, we get the following factors: 1, 2, 4, 8 Excluding 1 and 8, we have 2, 4
  6. math_celebrity

    Your salary after a 5% increase if your salary before the increase was s

    Your salary after a 5% increase if your salary before the increase was s. If we start with s, and get a 5% increase, we will have s + 0.05s. Factor our s: s(1.05) or 1.05s
  7. math_celebrity

    if a + b = 2 and a2 - b2 = -4, what is the value of a - b?

    if a+b=2 and a2-b2=-4, what is the value of a-b? a^2 - b^2 = -4 Factor this: (a + b)(a - b) = -4 We know from above, (a +b) = 2, so substitute: 2(a - b) = -4 Divide each side by 2 (a - b) = -2
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