(2x+1/3)^2-(x-1/2)^2
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Hii friend,
(2X+1/3)² - (X-1/2)²
=> (2X+1)²/(3)² - (X-1)²/(2)²
=> (2X)² + (1)² + 2 × 2X × 1 /9 - (X)² + (1)² + 2 × X × 1 /4
=> 4X²+1 +4X/9 - X²+1 + 2X/4
=> 4X²+4X+1/9 - X²+2X+1/4
=> 4(4X²+4X+1) - 9(X²+2X+1)/36
=> 16X²+16X+4 - 9X²+18X-9/36
=> 16X²-9X²+16X+18X+4-9/36
=> 7X²+34X-5/36 = 0
=> 7X²+34X-5 = 0
=> 7X²+35X-X-5 = 0
=> 7X(X+5) -1(X+5) = 0
=> (X+5) (7X-1) = 0
=> (X+5) = 0 OR (7X-1) = 0
=> X = -5 OR X = 1/7
HOPE IT WILL HELP YOU..... :-)
(2X+1/3)² - (X-1/2)²
=> (2X+1)²/(3)² - (X-1)²/(2)²
=> (2X)² + (1)² + 2 × 2X × 1 /9 - (X)² + (1)² + 2 × X × 1 /4
=> 4X²+1 +4X/9 - X²+1 + 2X/4
=> 4X²+4X+1/9 - X²+2X+1/4
=> 4(4X²+4X+1) - 9(X²+2X+1)/36
=> 16X²+16X+4 - 9X²+18X-9/36
=> 16X²-9X²+16X+18X+4-9/36
=> 7X²+34X-5/36 = 0
=> 7X²+34X-5 = 0
=> 7X²+35X-X-5 = 0
=> 7X(X+5) -1(X+5) = 0
=> (X+5) (7X-1) = 0
=> (X+5) = 0 OR (7X-1) = 0
=> X = -5 OR X = 1/7
HOPE IT WILL HELP YOU..... :-)
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