if x^2+8x-20=(x-a)(x+b) then a-b=?
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x^2+8x-20=(x-a)(x+b)
=> x^2+(10-2)x-10×2=(x-a)(x+b)
=>x^2+10x-2x-10×2=(x-a)(x+b)
=>x(x+10)-2(x+10)=(x-a)(x+b)
=>(x-2)(x+10)=(x-a)(x+b)
comparing we get,
a=2 ; b=10
Now;
a-b= 2-10 = -8
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=> x^2+(10-2)x-10×2=(x-a)(x+b)
=>x^2+10x-2x-10×2=(x-a)(x+b)
=>x(x+10)-2(x+10)=(x-a)(x+b)
=>(x-2)(x+10)=(x-a)(x+b)
comparing we get,
a=2 ; b=10
Now;
a-b= 2-10 = -8
if u like it pls follow me...........
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