Complex Numbers EQ: How do we multiply complex numbers?

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Presentation transcript:

Complex Numbers EQ: How do we multiply complex numbers? M2 Unit 1A: Day 4

As a review…remember the distributive property and FOIL. Multiply. 2(3x–5) (x+3)(2x-4) 1/2/2019 copyright 2006 www.brainybetty.com

copyright 2006 www.brainybetty.com We can sometimes multiply complex numbers using the Distributive Property… Ex: Simplify. Write expression in standard form. 5( 2 + 6i ) 2. -2( 6 + 3i ) 10 + 30i -12 - 6i 1/2/2019 copyright 2006 www.brainybetty.com

You Try: Simplify. Write expression in standard form. 1/2/2019 copyright 2006 www.brainybetty.com

copyright 2006 www.brainybetty.com Remember… Simplify. Write the expression in standard form. 3i ( 7 + i ) 2i ( 5 + i ) 1/2/2019 copyright 2006 www.brainybetty.com

You Try: Simplify. Write expression in simplest form. 6i( 4 + 2i ) 8i( 2 – 7i) i( i + 4 ) 2i( -3 – 10i ) 1/2/2019 copyright 2006 www.brainybetty.com

Now, let’s use FOIL to multiply 2 complex numbers…. Ex: Write the expression as a complex number in standard form. (8 – 2i)(-6 + 5i) (-3 + i)(8 + 5i) 1/2/2019 copyright 2006 www.brainybetty.com

copyright 2006 www.brainybetty.com (4 + 3i)(4 – 3i) 1/2/2019 copyright 2006 www.brainybetty.com

copyright 2006 www.brainybetty.com You Try: Write the expression as a complex number in standard form. (-5 + i)(2 – 7i) (3 – 2i)(-5 – 9i) (-3 + 2i)(-3 – 2i) 1/2/2019 copyright 2006 www.brainybetty.com

These problems have multiple steps: 18. (-4 + 5i)(1 – 4i) + (6 + 2i) You Try. 19. -(2 + 5i) + (5 – 3i)(4 + i) 1/2/2019 copyright 2006 www.brainybetty.com

copyright 2006 www.brainybetty.com Assignment Pg 13 (#2 - 26 even) 1/2/2019 copyright 2006 www.brainybetty.com