Solve 3x ^ 4 - (8x ^ 2) ^ 2 + 8 * (x ^ 2) ^ 2 + (- 3x ^ 2) ^ 2 | 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

$$3x^{4}-(8x^{2})^{2}+8(x^{2})^{2}+(-3x^{2})^{2}$$

Evaluate

$-44x^{4}$

Solution Steps

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

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

Expand $\left(8x^{2}\right)^{2}$.

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

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

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

Calculate $8$ to the power of $2$ and get $64$.

$$3x^{4}-64x^{4}+8x^{4}+\left(-3x^{2}\right)^{2}$$

Combine $3x^{4}$ and $-64x^{4}$ to get $-61x^{4}$.

$$-61x^{4}+8x^{4}+\left(-3x^{2}\right)^{2}$$

Combine $-61x^{4}$ and $8x^{4}$ to get $-53x^{4}$.

$$-53x^{4}+\left(-3x^{2}\right)^{2}$$

Expand $\left(-3x^{2}\right)^{2}$.

$$-53x^{4}+\left(-3\right)^{2}\left(x^{2}\right)^{2}$$

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

$$-53x^{4}+\left(-3\right)^{2}x^{4}$$

Calculate $-3$ to the power of $2$ and get $9$.

$$-53x^{4}+9x^{4}$$

Combine $-53x^{4}$ and $9x^{4}$ to get $-44x^{4}$.

$$-44x^{4}$$

Expand

$-44x^{4}$

Solution Steps

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

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

Expand $\left(8x^{2}\right)^{2}$.

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

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

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

Calculate $8$ to the power of $2$ and get $64$.

$$3x^{4}-64x^{4}+8x^{4}+\left(-3x^{2}\right)^{2}$$

Combine $3x^{4}$ and $-64x^{4}$ to get $-61x^{4}$.

$$-61x^{4}+8x^{4}+\left(-3x^{2}\right)^{2}$$

Combine $-61x^{4}$ and $8x^{4}$ to get $-53x^{4}$.

$$-53x^{4}+\left(-3x^{2}\right)^{2}$$

Expand $\left(-3x^{2}\right)^{2}$.

$$-53x^{4}+\left(-3\right)^{2}\left(x^{2}\right)^{2}$$

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

$$-53x^{4}+\left(-3\right)^{2}x^{4}$$

Calculate $-3$ to the power of $2$ and get $9$.

$$-53x^{4}+9x^{4}$$

Combine $-53x^{4}$ and $9x^{4}$ to get $-44x^{4}$.

$$-44x^{4}$$