Question

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Answer 1

Explanation:

31) Y = -3x² + 18 x -25 = -3*x² + -3*-6x -25

= -3(x² -6x) - 25

( (a-b)² =a² - 2ab + b²; here a = x; 2ab = -6x = -2*x*3; and so b = 3)

= -3(x² -6x + 9 - 9) - 25

{ when we add and subtract 9, the equation will not change}

= -3[(x -3)² - 9] -25

= -3(x - 3)² - (-3)*9 - 25

= -3(x - 3)² + 27 -25

= -3(x - 3)² + 2

32) y= -3x² - 18x - 25

= -3 (x² + 6x )-25

= -3 (x² + 6x + 9 - 9) -25

= -3 [ (x+ 3)² - 9] -25

=-3 (x + 3)² - (-3)*9 - 25

= -3(x + 3)² + 27 - 25

= -3(x+3)² +2