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

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Answer 1 · 2016-04-01T07:17:50

#2x^2-17x+21#

#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#