Answer:
8( 3x+2y) ( 9x^2 -6xy +4y^2)
Step-by-step explanation:
216x^3 + 64y^3
Factor out the greatest common factor of 8
8( 27x^3 +8y^3)
Rewriting
8 ( (3x)^3 + (2y)^2))
Recognizing this as the difference of cubes)
a^3 + b^3 = (a+b) (a^2-ab+b^2)
8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)
=8( 3x+2y) ( 9x^2 -6xy +4y^2)
Answer: 729
Step-by-step explanation:
Move items with negative exponents from numerator to denominator or vice versa and change sign of exponent. Factorize composite numbers, say 10^3 = 2^3 × 5^3 and 81 = 3^4. Combine factors with same base, adding exponents. Cancel factors appearing in both numerator and denominator, subtracting exponents.
5^-3×6^-5×81×4/(3^-7×10^-3)
= 3^7×10^3×81×4/(5^3×6^5)
= 3^7×2^3×5^3×3^4×2^2/(5^3×2^5×3^5)
= 2^5×3^11×5^3/(2^5×3^5×5^3)
= 3^6
= 729
<em>Answer:</em>
<em> 61</em>
<em>Step-by-step explanation: </em>
<em> 96 - 35 = 61
</em>
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Start by writing the ratio of:
0.125/1 (since a number divided by 1 is itself)
Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)
(0.125*1000)/(1*1000)
125/1000
Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:
(125/5)/(1000/5)
25/200
Do this again with another common factor if possible. For this problem, 25 is another common factor:
(25/25)/(200/25)
1/8
Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:
Answer is: 1/8
I wrote the answers in the pictures...
