Simplifying Expressions Part 1 (x+3)(2x-1) (3x-1)(x-2)

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Presentation transcript:

Simplifying Expressions Part 1 (x+3)(2x-1) (3x-1)(x-2)

“Make your mistakes work for you by learning from them.” -- Donald Trump

Review expanding binomials

Is it: 4x² + 5x -3 Or… 2x² + 5x - 3 I’m Jill and of course I’m right! Excuse me?!? No way! I’m Jack and I’m right!

(x+3)(2x – 1) 2x² - x + 2x² + 6x -3 4x² + 5x - 3 Jill did her work by multiplying the whole first expression by the second. James did his work by splitting up the first binomial. (x+3)(2x – 1) x(2x – 1)+3(2x – 1) 2x² - x + 6x – 3 2x² + 5x - 3

Check the answer? Okay… Let’s say someone told you that x = -3. Plug x into both expressions… If it equals out to zero, it’s right. Go ahead try it…

Jill Answer: 4x² + 5x – 3 4(-3)² + 5(-3) – 3 4(9) – 15 – 3 36 – 15 – = 18 Answer: 2x² + 5x – 3 2(-3)²+5(-3) – 3 2(9) – 15 – – 3 = 0 THIS IS RIGHT! Jack

How do you do it if the “x” value is not given to you?? There is not always someone around to give you answers…and, really, what would you learn if someone gave you all the answers? Do it the EASY way…use the distributive property… (x+ a)(x + b) x(x+b) + a (x+b) x² + bx + ax + ab………….Since bx and ax are like terms… x² + (a+b)x + ab

Multiplying two binomials is a common Algebra problem To multiply two binomials, you need to apply the distributive property. Each term in the first binomial needs to be multiplied by each term in the second binomial.

Simplify. Don’t forget to combine like terms! 1. (y – 1)(y – 7) 2. (4 + x)(3 – x) 3. (a + 4)(a – 6) 4. (-x -3)(x + 3)

Worksheet Pg. 46 (2-14 evens)