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

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Answer 1 · 2016-04-01T07:17:50

$2 x^{2} - 17 x + 21$ $2x^2-17x+21$

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

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

Watch this video to know Foil method

So

$\to F - O I L - F i r s t s \Rightarrow 2 x \cdot x = 2 x^{2}$ $color(violet)(rarrul(F)OIL-FirstsrArr2x*x=2x^2$

$\to F O - I L \Rightarrow O u t s i d e s = 2 x \cdot - 7 = - 14 x$ $color(indigo)(rarrFul(O)ILrArrOutsides=2x*-7=-14x$

$\to F O I - L \Rightarrow I n s i d e s = - 3 \cdot x = - 3 x$ $color(orange)(rarrFOul(I)LrArrInsides=-3*x=-3x$

$\to F O I L - \Rightarrow L a s t s = - 3 \cdot - 7 = 21$ $color(red)(rarrFOIul(L)rArrLa sts=-3*-7=21$

Now combine all these

$\Rightarrow 2 x^{2} - 14 x - 3 x + 21$ $color(purple)(rArr2x^2-14x-3x+21$

$\Rightarrow 2 x^{2} - 17 x + 21$ $color(green)(rArr2x^2-17x+21$

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