(i) Express 4x^2 − 12x in the form (2x + a)^2 + b.
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28
4x² - 12x
= (2x)² - 2 × (12/2x) + 3² - 3²
= (2x -3)² - 3²
= (2x -3)² + (-3²)
∴ a = 3 and b = (-3²)
= (2x)² - 2 × (12/2x) + 3² - 3²
= (2x -3)² - 3²
= (2x -3)² + (-3²)
∴ a = 3 and b = (-3²)
Anurag19:
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Answered by
69
4x² -12x in the form of (2x +a)² + b
=4x² - 2.(2x )(3) + (3)² - (3)²
=(2x)² -2(2x )(3) +(3)² -(3)²
=(2x -3)² - 9
={2x +(-3) }² + (-9)
=4x² - 2.(2x )(3) + (3)² - (3)²
=(2x)² -2(2x )(3) +(3)² -(3)²
=(2x -3)² - 9
={2x +(-3) }² + (-9)
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