(x+1)^2-(x-1)^2 simplify this
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(X+1-x+1)(X+1+X+1)
1+1(2x+2)
2(2x+2)
4x+4
1+1(2x+2)
2(2x+2)
4x+4
ishi37:
wrong answer
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2
you will have to simplify it using identities (a+b)² =a²+b²+2ab and (a-b)²=a²+b²-2ab
so,
(x+1)² - (x-1)²
= [(x²+ 1²+ 2× x ×1) ] -[(x²+1²-2 × x × 1)]
=(x²+ 1+ 2x) - (x²+1 -2x)
=x² +1 +2x - x² -1 +2x
=4x
x² and -x² will cancle each other similarlly 1 and -1 will cancle each other
so,
(x+1)² - (x-1)²
= [(x²+ 1²+ 2× x ×1) ] -[(x²+1²-2 × x × 1)]
=(x²+ 1+ 2x) - (x²+1 -2x)
=x² +1 +2x - x² -1 +2x
=4x
x² and -x² will cancle each other similarlly 1 and -1 will cancle each other
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