Solve (1)^(3)-(2)^(3)+(3)^(3)-(4)^(3)+(5)^(3)-(6)^(3)+(7)^(3)-(8)^(3)+(9)^(3)-(10)^(3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ 1 }^{ 3 } - { 2 }^{ 3 } + { 3 }^{ 3 } - { 4 }^{ 3 } + { 5 }^{ 3 } - { 6 }^{ 3 } + { 7 }^{ 3 } - { 8 }^{ 3 } + { 9 }^{ 3 } - { 10 }^{ 3 }$$

Evaluate

$-575$

Solution Steps

Calculate $1$ to the power of $3$ and get $1$.

$$1-2^{3}+3^{3}-4^{3}+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $2$ to the power of $3$ and get $8$.

$$1-8+3^{3}-4^{3}+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Subtract $8$ from $1$ to get $-7$.

$$-7+3^{3}-4^{3}+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $3$ to the power of $3$ and get $27$.

$$-7+27-4^{3}+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Add $-7$ and $27$ to get $20$.

$$20-4^{3}+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $4$ to the power of $3$ and get $64$.

$$20-64+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Subtract $64$ from $20$ to get $-44$.

$$-44+5^{3}-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $5$ to the power of $3$ and get $125$.

$$-44+125-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Add $-44$ and $125$ to get $81$.

$$81-6^{3}+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $6$ to the power of $3$ and get $216$.

$$81-216+7^{3}-8^{3}+9^{3}-10^{3}$$

Subtract $216$ from $81$ to get $-135$.

$$-135+7^{3}-8^{3}+9^{3}-10^{3}$$

Calculate $7$ to the power of $3$ and get $343$.

$$-135+343-8^{3}+9^{3}-10^{3}$$

Add $-135$ and $343$ to get $208$.

$$208-8^{3}+9^{3}-10^{3}$$

Calculate $8$ to the power of $3$ and get $512$.

$$208-512+9^{3}-10^{3}$$

Subtract $512$ from $208$ to get $-304$.

$$-304+9^{3}-10^{3}$$

Calculate $9$ to the power of $3$ and get $729$.

$$-304+729-10^{3}$$

Add $-304$ and $729$ to get $425$.

$$425-10^{3}$$

Calculate $10$ to the power of $3$ and get $1000$.

$$425-1000$$

Subtract $1000$ from $425$ to get $-575$.

$$-575$$

Factor

$-575$