(2x+1/2)^2-(x-1/2)^2
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QUESTION :
( 2x + 1/2)² - ( x - 1/2)²
FORMULA TO DO :
( a + b)² = a² +2ab + b²
( a - b)² = a² - 2ab + b²
SOLUTION :
According to formula,
= ( 2x) ² + 2. 2x . 1 / 2 + ( 1/2) ² - { ( 2x)² - 2. 2x .1/2 + ( 1/2)² }
= 4x² + 2x + 1 / 4 - { 4x² - 2x + 1/4}
= (4 × 4x² + 4 × 2x + 1 ) /4 - { 4x² × 2 - 2x × 2 + 1} /4
= ( 16x² + 8x + 1 - 16x² + 8x - 1 ) / 4
= 16x / 4
= 4x answer
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