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# Maths year 11 Watch

1. correct
2. (Original post by RDKGames)
correct

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3. Divide the shape in two rectangles, find their respective areas and add them together.
4. (Original post by RDKGames)
Divide the shape in two rectangles, find their respective areas and add them together.
Like this ?

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5. (Original post by RDKGames)
Divide the shape in two rectangles, find their respective areas and add them together.
Like this ? .

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7. (Original post by z_o_e)
Like this ?

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First equation is fine but if you're going by that then your second one is incorrect. Think about the line length 7x-2 in relation to the 2x at the top.
8. Split the diagram into 2 rectangles, and label all of the side lengths of each rectangle and it should become very clear.
9. (Original post by RDKGames)
First equation is fine but if you're going by that then your second one is incorrect. Think about the line length 7x-2 in relation to the 2x at the top.
Here

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10. I think it's 5x-2

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11. (Original post by z_o_e)
I think it's 5x-2

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The top length would indeed be 5x-2. Not sure why you multiplied (x+3) by itself there though.
12. (Original post by RDKGames)
The top length would indeed be 5x-2. Not sure why you multiplied (x+3) by itself there though.
How do I solve the last 2?

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13. (Original post by z_o_e)
How do I solve the last 2?

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That's not quite right. I think you would find it easier to expand brackets using a table; do you know how?
14. (Original post by RDKGames)
That's not quite right. I think you would find it easier to expand brackets using a table; do you know how?
No?

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15. Create a table like this. Since you are multiplying (x+3) by (5x-3), one goes on the top and the other goes on the side. The trick is that you separate the numbers by isolating them in their own squares; like 5x and -2 have different squares, likewise with x+3. Then fill it in by multiplying the corresponding column and row. For example, 5x2 is achieved from x multiplied by 5x . -2x is from -2 times by x.

Once you fill them in, add them all up and you have your brackets expanded.

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16. (Original post by RDKGames)
Create a table like this. Since you are multiplying (x+3) by (5x-3), one goes on the top and the other goes on the side. The trick is that you separate the numbers by isolating them in their own squares; like 5x and -2 have different squares, likewise with x+3. Then fill it in by multiplying the corresponding column and row. For example, 5x2 is achieved from x multiplied by 5x . -2x is from -2 times by x.

Once you fill them in, add them all up and you have your brackets expanded.

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Thank you xx

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17. (Original post by z_o_e)
Thank you xx

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Not quite. Top row is incorrect because x term on the 5 is SQUARED while the one on the -2 is NOT. Therefore you cannot take one away from the other like that.

Second row, you are missing an x next to the 15.
18. (Original post by RDKGames)
Not quite. Top row is incorrect because x term on the 5 is SQUARED while the one on the -2 is NOT. Therefore you cannot take one away from the other like that.

Second row, you are missing an x next to the 15.
Oh is it 3x cube?

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19. (Original post by z_o_e)
Oh is it 3x cube?

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No it's simply 5x2-2x.

It would be 3x2 if it was 5x2-2x2.
It would be 3x3 if it was 5x3-2x3.
They powers have to be the same in order to mix.
20. (Original post by B_9710)
That's what I was asking for, the proof.

Updated: December 10, 2016
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