Question

(3x + 4y)2 - (3x - 4y)2

Answer 1

16y

Explanation:

2(3x+4y)-(3x-4y).2
6x+8y-(3x-4y).2

6x+8y-1(3x-4y).2
6x+8y-2(3x-4y)

6x+8y-2(3x-4y)
6x+8y-6x+8y

6x+8y-6x+8y
8y+8y

=16y

Answer 2

• 16y

Explanation:

`\sf \left(3x+4y\right)*\:2-\left(3x-4y\right)*\:2`

First, let's use the distributive property to multiply 3x+4y by 2:

`\sf 6x+8y-(3x-4y)* 2`

Now, to find the opposite of 6x−8y, find the opposite of each term:

`\sf 6x+8y-6x-(-8y)`

The opposite of −8y is 8y.

`\sf 6x+8y-6x+8y`

Now. let's combine like terms:

`\sf (6x-6x)=\bf 0`

`\sf (8y+8y)=\bf 16y`

Therefore, your answer is 16y.

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