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natta225 [31]
3 years ago
14

Which expression is a sum of cubes?

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0
   
-27x^9+y^6 = (-3)^3\times \Big(x^3\Big)^3 + \Big(y^2\Big)^3=\boxed{\Big(-3x^3\Big)^3+\Big(y^2\Big)^3}



alex41 [277]3 years ago
3 0

Answer:

Option (3) is correct.

-27x^9+y^6 is the expression written as the sum of cubes as

(-3x^3)^3+(y^2)^3

Step-by-step explanation:

<u>Sum of cubes</u> : is defined as  a^3+b^3

We have to choose a sum of cubes from given expressions,

Consider -27x^9+y^6

Here  -27x^9 can be written as (-3x^3)^3

and y^6 can be written as (y^2)^3

Thus, -27x^9+y^6=(-3x^3)^3+(y^2)^3

Hence, -27x^9+y^6 is the expression written as the sum of cubes as (-3x^3)^3+(y^2)^3

Thus, option (3) is correct.

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Equivalent expressions for 50+225
faust18 [17]

50 + (15 × 15),   50 + 15 × 50 + 15,   (10 × 5) + 225,   10 × 225 + 5 × 225

Solution:

Given expression is 50 + 225.

To find the equivalent expressions for 50 + 225.

(1)   225 can be written as 15 × 15.

⇒ 50 + 225 = 50 + (15 × 15)

(2)   Using distributive law, we find the another equivalent expression

a + (b × c) = a + b × b + c

⇒ 50 + (15 × 15) = 50 + 15 × 50 + 15

(3)   Now, 50 can be written as 10 × 5.

⇒ 50 + 225 = (10 × 5) + 225

(4   Using distributive law, we find the another equivalent expression

a + (b × c) = a + b × b + c

⇒ (10 × 5) + 225 = 10 × 225 + 5 × 225

Hence the equivalent expressions for 50 + 225 are:

50 + (15 × 15)

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(10 × 5) + 225

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Answer:

$37.50

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