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lawyer [7]
2 years ago
6

%204%29%E2%80%8B%7D" id="TexFormula1" title=" \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}" alt=" \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}" align="absmiddle" class="latex-formula">​
Mathematics
2 answers:
Serjik [45]2 years ago
5 0

Answer:

\boxed{\sf -18x^3+3x^2+10x+4}

Explanation:

\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)

distribute

\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4

collect terms

\rightarrow \sf -6x^3-12x^3+3x^2+10x+4

add similar terms

\rightarrow \sf -18x^3+3x^2+10x+4

barxatty [35]2 years ago
3 0

Answer:

-18x^3+3x^2+10x+4

Step-by-step explanation:

Given:

(10x-6x^3+8x^2)-(5x^2+12x^3-4)

Apply the rule (a) = a:

\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)

\textsf{Use the distributive law} \quad -(a+b)=-a-b:

\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)

Apply the rule -(-a) = a:

\implies 10x-6x^3+8x^2-5x^2-12x^3+4

Collect like terms:

\implies -6x^3-12x^3+8x^2-5x^2+10x+4

Combine like terms:

\implies -18x^3+3x^2+10x+4

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So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

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