How to solve (3x+y)(3x-y)

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 (3x+y)(3x-y) | 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

$$(3x+y)(3x-y)$$

Evaluate

$9x^{2}-y^{2}$

Solution Steps

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

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

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

$$3^{2}x^{2}-y^{2}$$

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

$$9x^{2}-y^{2}$$

Show Solution

Expand

$9x^{2}-y^{2}$

Solution Steps

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

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

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

$$3^{2}x^{2}-y^{2}$$

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

$$9x^{2}-y^{2}$$

Show Solution

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Question

Evaluate

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Solution Steps