The answer: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Explanation:
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Given: " 4x⁴ − 24x³ + 36x² " ; The least common factor is: 4x² ;
since the least common NUMBER as a factor is "4"; and the least common "variable" as a factor is "x² " ;
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4x⁴ − 24x³ + 36x² = 4x² (x² − 6x + 9) ;
Factor the: "(x² − 6x + 9)" ;
(x² − 6x + 9) = (x − 3)(x − 3) ;
Rewrite: "4x² (x − 3)(x − 3)" ; or, write as: "4x² (x − 3)² " .
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Distribute the parenthesis using > a(b + c) = ab + ac > 5x + 5(-9) > Apply the minus - plus rules > + (-a) = -a > 5x - 5 * 9 < Multiply > 5x - 45
Part A, distribute the 3 to all of the terms in the parentheses
Part B:
Use the addition property to combine like terms
Part C, substitute 1 for m into the other equation to show that both equations are the same
Answer:
$7 + $0.20p = $5 + $0.30p
Step-by-step explanation:
UPS charges $7 for the first pound and $0.20 for each additional pound.
FedEx charges $5 for the first pound and $0.30 for each additional pound.
Let's take the number of additional pounds that will make UPS and FedEx cost the same to be p.
$7 + $0.20p = $5 + $0.30p
$7 - $5 = $0.30p - $0.20p
$2 = $0.10p
p = = 20 additional pounds