Solve -x\timesx+6x-9-(9x-27)+(-x+3)(2x-9) | 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

$$-x \times x+6x-9-(9x-27)+(-x+3)(2x-9)$$

Evaluate

$3\left(1-x\right)\left(x-3\right)$

Solution Steps

To find the opposite of $9x-27$, find the opposite of each term.

$$\left(-x\right)x+6x-9-9x-\left(-27\right)+\left(-x+3\right)\left(2x-9\right)$$

The opposite of $-27$ is $27$.

$$\left(-x\right)x+6x-9-9x+27+\left(-x+3\right)\left(2x-9\right)$$

Combine $6x$ and $-9x$ to get $-3x$.

$$\left(-x\right)x-3x-9+27+\left(-x+3\right)\left(2x-9\right)$$

Add $-9$ and $27$ to get $18$.

$$\left(-x\right)x-3x+18+\left(-x+3\right)\left(2x-9\right)$$

Apply the distributive property by multiplying each term of $-x+3$ by each term of $2x-9$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x-9\left(-x\right)+6x-27$$

Multiply $-9$ and $-1$ to get $9$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x+9x+6x-27$$

Combine $9x$ and $6x$ to get $15x$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x+15x-27$$

Combine $\left(-x\right)x$ and $2\left(-x\right)x$ to get $3\left(-x\right)x$.

$$3\left(-x\right)x-3x+18+15x-27$$

Combine $-3x$ and $15x$ to get $12x$.

$$3\left(-x\right)x+12x+18-27$$

Subtract $27$ from $18$ to get $-9$.

$$3\left(-x\right)x+12x-9$$

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

$$-3xx+12x-9$$

Multiply $x$ and $x$ to get $x^{2}$.

$$-3x^{2}+12x-9$$

Expand

$-3x^{2}+12x-9$

Solution Steps

To find the opposite of $9x-27$, find the opposite of each term.

$$\left(-x\right)x+6x-9-9x-\left(-27\right)+\left(-x+3\right)\left(2x-9\right)$$

The opposite of $-27$ is $27$.

$$\left(-x\right)x+6x-9-9x+27+\left(-x+3\right)\left(2x-9\right)$$

Combine $6x$ and $-9x$ to get $-3x$.

$$\left(-x\right)x-3x-9+27+\left(-x+3\right)\left(2x-9\right)$$

Add $-9$ and $27$ to get $18$.

$$\left(-x\right)x-3x+18+\left(-x+3\right)\left(2x-9\right)$$

Apply the distributive property by multiplying each term of $-x+3$ by each term of $2x-9$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x-9\left(-x\right)+6x-27$$

Multiply $-9$ and $-1$ to get $9$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x+9x+6x-27$$

Combine $9x$ and $6x$ to get $15x$.

$$\left(-x\right)x-3x+18+2\left(-x\right)x+15x-27$$

Combine $\left(-x\right)x$ and $2\left(-x\right)x$ to get $3\left(-x\right)x$.

$$3\left(-x\right)x-3x+18+15x-27$$

Combine $-3x$ and $15x$ to get $12x$.

$$3\left(-x\right)x+12x+18-27$$

Subtract $27$ from $18$ to get $-9$.

$$3\left(-x\right)x+12x-9$$

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

$$-3xx+12x-9$$

Multiply $x$ and $x$ to get $x^{2}$.

$$-3x^{2}+12x-9$$