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S_A_V [24]
3 years ago
9

How do you find the sum of cube ?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

(2x+5)(4x^{2} -10x+25)=0

Step-by-step explanation:

Given:

The given equation is.

8x^{3} +125=0

Find the some of cube.

Solution:

8x^{3} +125=0

2^{3}x^{3} +5^{3}=0

(2x)^{3} +5^{3}=0----------(1)

The sum of the cube formula is given below.

(a^{3} +b^{3})=(a+b)(a^{2} -ab+b^{2} )-----------(2)

By comparing equation 1 and equation 2

a=2x, b=5

substitute a and b value in equation 2

((2x)^{3} +5^{3})=(2x+5)((2x)^{2} -(2x)(5)+5^{2})

((2x)^{3} +5^{3})=(2x+5)(4x^{2} -(10x)+25)

((2x)^{3} +5^{3})=(2x+5)(4x^{2} -10x+25)

Therefore the sum of the cube (2x+5)(4x^{2} -10x+25)=0

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Answer: Option C. 8,064 pounds

Solution:

Unit weight: U=63 pounds/foot^3

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