Solve 3x+2y+1\times3x-2y+1= | 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

$$3x+2y+1 \times 3x-2y+1=$$

Evaluate

$6x+1$

Solution Steps

Multiply $1$ and $3$ to get $3$.

$$3x+2y+3x-2y+1$$

Combine $3x$ and $3x$ to get $6x$.

$$6x+2y-2y+1$$

Combine $2y$ and $-2y$ to get $0$.

$$6x+1$$

Differentiate w.r.t. x

$6$

Steps Using Derivative Rule for Sum

Multiply $1$ and $3$ to get $3$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+2y+3x-2y+1)$$

Combine $3x$ and $3x$ to get $6x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x+2y-2y+1)$$

Combine $2y$ and $-2y$ to get $0$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x+1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$6x^{1-1}$$

Subtract $1$ from $1$.

$$6x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$6\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$6$$