Solve 4x*4x+x^2-x*2x-x

$$4x \times 4x+ { x }^{ 2 } -x \times 2x-x$$

Evaluate

$$x\left(15x-1\right)$$

Solution Steps

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

$$4x^{2}\times 4+x^{2}-x\times 2x-x$$

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

$$4x^{2}\times 4+x^{2}-x^{2}\times 2-x$$

Multiply 4 and 4 to get 16.

$$16x^{2}+x^{2}-x^{2}\times 2-x$$

Combine 16x^{2} and x^{2} to get 17x^{2}.

$$17x^{2}-x^{2}\times 2-x$$

Combine 17x^{2} and -x^{2}\times 2 to get 15x^{2}.

$$15x^{2}-x$$

Factor

$$x\left(15x-1\right)$$

Solution Steps

Factor out x.

$$x\left(16x+x-2x-1\right)$$

Consider 16x+x-2x-1. Multiply and combine like terms.

$$15x-1$$

Rewrite the complete factored expression.

$$x\left(15x-1\right)$$