Question

How do you simplify `(2x - 3)(x - 7)`?

Answer 1

`2x^2-17x+21`

Explanation:

`color(blue)((2x-3)(x-7)`

So,we have got two binomials to multiply. Use FOIL method

Watch this video to know Foil method

So

`color(violet)(rarrul(F)OIL-FirstsrArr2x*x=2x^2`

`color(indigo)(rarrFul(O)ILrArrOutsides=2x*-7=-14x`

`color(orange)(rarrFOul(I)LrArrInsides=-3*x=-3x`

`color(red)(rarrFOIul(L)rArrLa sts=-3*-7=21`

Now combine all these

`color(purple)(rArr2x^2-14x-3x+21`

`color(green)(rArr2x^2-17x+21`