Solve (2)2(x^{4})^{2}-[3(x^{2})^4+x*(x^2)^2*x^3]

$$( 2 ) 2 ( x ^ { 4 } ) ^ { 2 } - [ 3 ( x ^ { 2 } ) ^ { 4 } + x \cdot ( x ^ { 2 } ) ^ { 2 } \cdot x ^ { 3 } ]$$

Evaluate

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Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$2\times 2x^{8}-\left(3\left(x^{2}\right)^{4}+x\left(x^{2}\right)^{2}x^{3}\right)$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$2\times 2x^{8}-\left(3x^{8}+x\left(x^{2}\right)^{2}x^{3}\right)$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$2\times 2x^{8}-\left(3x^{8}+xx^{4}x^{3}\right)$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$2\times 2x^{8}-\left(3x^{8}+x^{5}x^{3}\right)$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$2\times 2x^{8}-\left(3x^{8}+x^{8}\right)$$

Multiply 2 and 2 to get 4.

$$4x^{8}-\left(3x^{8}+x^{8}\right)$$

Combine 3x^{8} and x^{8} to get 4x^{8}.

$$4x^{8}-4x^{8}$$

Combine 4x^{8} and -4x^{8} to get 0.

$$0$$

Factor

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