How to solve 5e ^ 2 - 45d ^ 2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 5e ^ 2 - 45d ^ 2 | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$5e^{2}-45d^{2}$$

Factor

$5\left(e-3d\right)\left(3d+e\right)$

Solution Steps

Factor out $5$.

$$5\left(e^{2}-9d^{2}\right)$$

Consider $e^{2}-9d^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(e-3d\right)\left(e+3d\right)$$

Rewrite the complete factored expression.

$$5\left(e-3d\right)\left(e+3d\right)$$

Show Solution

Evaluate

$5\left(e^{2}-9d^{2}\right)$

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