How to solve 3a-2b) (3a2b)

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 3a-2b) (3a2b) | Equatix

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Question

$$( 3 a - 2 b ) ( 3 a + 2 b )$$

Evaluate

$9a^{2}-4b^{2}$

Solution Steps

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

$$\left(3a\right)^{2}-\left(2b\right)^{2}$$

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

$$3^{2}a^{2}-\left(2b\right)^{2}$$

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

$$9a^{2}-\left(2b\right)^{2}$$

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

$$9a^{2}-2^{2}b^{2}$$

Calculate $2$ to the power of $2$ and get $4$.

$$9a^{2}-4b^{2}$$

Show Solution

Expand

$9a^{2}-4b^{2}$

Solution Steps

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

$$\left(3a\right)^{2}-\left(2b\right)^{2}$$

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

$$3^{2}a^{2}-\left(2b\right)^{2}$$

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

$$9a^{2}-\left(2b\right)^{2}$$

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

$$9a^{2}-2^{2}b^{2}$$

Calculate $2$ to the power of $2$ and get $4$.

$$9a^{2}-4b^{2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps