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qwelly [4]
3 years ago
7

If a 2 centimeter cube is placed inside a box that is 9 cm by 5 cm by 8cm ,

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

360 cm3

Step-by-step explanation:

Option d is the right answer

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given:

The expression to expand is given as:

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Let us expand the first two binomials of the given expression using FOIL method.

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(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

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