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Ace ACT Math.

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For i=\sqrt{-1}, which of the following is equal to (3-2i)(4+i)?

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Where 10-5i comes from

Multiplying every pair gives four products.

Solution

Where 12-2i comes from

The real parts multiply to 12.

Where 12-5i comes from

Multiplying every pair gives four products.

Syllabus

Number and Quantity
Real and complex numbers
Exponents and radicals
Matrices
Vectors
Algebra
Linear equations and inequalities
Lines and linear models
Systems of equations
Quadratic, polynomial and other equations
Functions
Function notation, domain and inverses
Graphs and transformations
Exponential and logarithmic functions
Trigonometric functions
Geometry
Lines, angles and triangles
Right triangles and trigonometry
Area, surface area and volume
Circles and conic sections
Coordinate geometry
Statistics and Probability
Center and spread
Data collection and bivariate data
Probability and counting
Integrating Essential Skills
Rates and percentages
Proportional relationships
Measuring real objects
Average and median
Numbers in different ways

Ace ACT Math.

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