Solve (a ^ 2 - b ^ 2) from (a ^ 2 + b ^ 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

$$( a ^ { 2 } - b ^ { 2 } ) ( a ^ { 2 } + b ^ { 2 } )$$

Evaluate

$a^{4}-b^{4}$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}$$

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

$$a^{4}-\left(b^{2}\right)^{2}$$

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

$$a^{4}-b^{4}$$

Expand

$a^{4}-b^{4}$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\left(a^{2}\right)^{2}-\left(b^{2}\right)^{2}$$

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

$$a^{4}-\left(b^{2}\right)^{2}$$

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

$$a^{4}-b^{4}$$