Question

simplify the following expression 3(x-y)+2(x+3y)​

Answer 1

This is your answer

Hope this is helpful for you

Answer 2

Expresssion:

3(x-y) + 2(x+3y)

Now let's solve it!

Solution:

3(x-y) + 2(x+3y)

$\bf \pink{3(x-y) ....1st\: term}$

$\bf \pink{2(x+3y) ....2nd\: term}$

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3(x-y) [Using distributive property]

$\bf \green{3x-3y ....1}$

2(x+3y) [Using distributive property]

2x+3×2y

$\bf \green{2x+6y ....2}$

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Now,

(1)+(2)

(3x-3y) + (2x+6y)

3x-3y+2x+6y

3x+2x-3y+6y

5x+3y

Final answer:

5x+3y is the simplified answer of the expression 3(x-y) + 2(x+3y).

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⭐MORE TO KNOW

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Here are some identities of algebraic expressions:

• $\bf \purple{(a+b)² = a²+2ab+b²}$
• $\bf \orange{(a-b)² = a²-2ab+b²}$
• $\bf \red{(a+b)(a-b) = a²-b²}$
• $\bf \blue{(x+a)(x+b) = x²+(a+b)x+ab}$