Question

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

Type down when answering how you got the answers​

Answer 1

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}`

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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 :)