Algebra

Algebra Warmups

Algebra Shortcuts Warmup

         

Evaluate

2015×19992015×137919991379. \large \frac{ \color{#20A900}{2015} \times \color{#3D99F6}{1999} -\color{#20A900}{2015} \times \color{#D61F06}{1379}} { \color{#3D99F6}{1999} - \color{#D61F06}{1379} } .

Hint: Use the distributive property.

If a=2,b=7,c=9 a = 2 , b = 7, c = 9 , what is the value of

1+a+b+c+ab+bc+ca+abc? 1 + a + b + c + ab + bc + ca + abc ?

Hint:

Evaluate

872862. \Large \color{#D61F06}{87} ^ 2 - \color{#EC7300}{86} ^ 2.

Hint: Use the difference of two squares identity.

6!×7!10!= ? \large \frac {\color{#D61F06}6! \times \color{#3D99F6}7!}{\color{#69047E}{10}!} = \ \color{#20A900}?

Evaluate

4223824238. \large \frac{ \color{#3D99F6}{42} ^ 2 - \color{#20A900}{38} ^ 2 } { \color{#3D99F6}{42} - \color{#20A900}{38} }.

Hint: Use the difference of two squares identity.

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