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which expression is equivelent to (h^2+9h-1) (-4h+3) ? F. -4h^3-33h^2+31h-3 G. 4h^3 +39h^2 -23h-3 H. -4h^3-39h^2+23h+3 J.4h^3+33h^2-31h+3 please explain step by step

Respuesta :

marlinhadryelle1919

Answer:

F

Step-by-step explanation:

[tex](H^{2} + 9H - 1 ) . ( -4H + 3 )\\- 4H^{3} + 3H^{2} - 36H^{2} + 27H + 4H - 3 \\- 4H^{3} - 33H^{2} + 31H - 3[/tex]

devishri1977

Answer:

F

Step-by-step explanation:

(h² +  9h - 1)(-4h + 3)=(h² +  9h - 1)*-4h + [(h² +  9h - 1)*3]

= h²*(-4h) +  9h*(-4h) - 1*(-4h)  + h²*3 + 9h*3 - 1*3

= -4h³ - 36h² + 4h + 3h² + 27h - 3    {add/subtract the like terms}

= -4h³ - 33h² + 31h - 3