Algebra

# Algebra Shortcuts Warmup

Evaluate

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

Hint: Use the distributive property.

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

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

Hint:

Evaluate

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

Hint: Use the difference of two squares identity.

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

Evaluate

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

Hint: Use the difference of two squares identity.

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