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common factor is 6x therefore it is 6x(x-2)

rearrange gives z = [(1+2i)^2]/(2+i)expanding (1+2i)^2 gives 4i-3 therefore this becomes (4i-3)/2+i multiply that by the conjugate (2-i)/(2-i) to give (11i-2)/5therefore z= -2/5 + 11i/5

in 1957, 9 African American students were enrolled in a former segregated school in Arkansas. The 9 students were not well received as they were faced with a mob of angry white American students who prote...

Weathering occurs in situ where physical, chemical and biological processes such as thermal stress, oxidisation and plant growth (respectively) wears down the rocks. Whereas erosion wears down the rock wi...

equation of tangent is y - y1 = m(x-x1). differentiating y gives us the value of m. so dy/dx = 4x-10. we know x is 3. therefore, dy/dx = m = 2 but we need equation of the normal, which is y-y1=(1/m)(x-x1)...