Expand the expression (2x+6)(5x-1)

 Exercise

$\left(2x\:+\:6\right)\left(\:\left(5x\:-\:1\right)\right)$

 

Multiply the single term $5x-1$ by each term of the polynomial $\left(2x+6\right)$

$2x\left(5x-1\right)+6\left(5x-1\right)$

 

Multiply the single term $2x$ by each term of the polynomial $\left(5x-1\right)$

$10x\cdot x-2x+6\left(5x-1\right)$

 

When multiplying two powers that have the same base ($x$), you can add the exponents

$10x^2-2x+6\left(5x-1\right)$

 

Multiply the single term $6$ by each term of the polynomial $\left(5x-1\right)$

$10x^2-2x+30x-6$

 

Combining like terms $-2x$ and $30x$

$10x^2+28x-6$

$10x^2+28x-6$

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