Solve 16a^2-46^4

$$16 a ^ { 2 } - 46 ^ { 4 }$$

Factor

$$16\left(a-529\right)\left(a+529\right)$$

Solution Steps

Factor out 16.

$$16\left(a^{2}-279841\right)$$

Consider a^{2}-279841. Rewrite a^{2}-279841 as a^{2}-529^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(a-529\right)\left(a+529\right)$$

Rewrite the complete factored expression.

$$16\left(a-529\right)\left(a+529\right)$$

Evaluate

$$16\left(a^{2}-279841\right)$$

Solution Steps

Calculate 46 to the power of 4 and get 4477456.

$$16a^{2}-4477456$$