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Mathematics 21 Online
OpenStudy (anonymous):

Given b = 4 and c = -5, evaluate b 2 - c 2. 41 -2 -9

zepdrix (zepdrix):

When you square c, don't forget to square the negative as well! \[\Large \color{orangered}{b}^2-\color{orangered}{c}^2\qquad\to\qquad \color{orangered}{4}^2-\color{orangered}{(-5)}^2\]What's (-5)^2? :)

OpenStudy (skullpatrol):

$$\huge b^2-c^2= (b+c)(b-c)$$

OpenStudy (anonymous):

that would be 25

zepdrix (zepdrix):

Good good good.\[\Large 4^2-25\]

zepdrix (zepdrix):

Understand how to finish it up? :D

OpenStudy (anonymous):

so -9

zepdrix (zepdrix):

yay good job \c:/

OpenStudy (anonymous):

what about Given a = -3, b = 4 and c = -5, evaluate ab + c.

OpenStudy (skullpatrol):

Substitute the given values for the variables ie replace a with -3, b with 4 and c with -5.

zepdrix (zepdrix):

When you substitute a negative value, it might help to add brackets. That might make it a little less confusing. \[\Large a=-3\]\[\Large ab+c \qquad\to\qquad (-3)b+c\]Understand how I plugged in the value for \(\Large a\) ? Try to do the same with the c term, adding the brackets.

OpenStudy (skullpatrol):

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