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Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)

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User Jcsanyi
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hello!

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The Distributive Property states the following:-


\longrightarrow\sf{a(b+c)=ab+ac

Where


\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}

Now, let's use this property to simplify our expressions.

The first one is


\bigstar{\underline{\boxed{{4(x+2)}}}

Simplify by distributing 4:-


\longrightarrow\sf{4~times~x~+4~times~2}

Add the products:-


\longrightarrow\sf{4x+8}


\rule{250}{2}

Solve the next one:-


\bigstar{\underline{\boxed{\sf{-5(9+x)}}}

Distribute -5 & add the products:-


\longrightarrow\sf{-45-5x}


\rule{250}{2}

Solve the last one:-


\bigstar{\underline{\boxed{7(x-3)}}

Distribute 7:-


\longrightarrow\sf{7x-21}

======================================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

User Palak Jadav
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