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Solutions To Tutorial 3

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9 views2 pages

Solutions To Tutorial 3

Uploaded by

shamielpe
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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SOLUTIONS TO TUTORIAL 3

1.a.
Subtract 3x2 – x from 5x – x2
=(5x – x2) – (3x2 – x)
= 5x – x2 – 3x2 + x
=6x - 4 x2

1.b.
Subtract 24xy – 10y – 18x from 30xy + 12y – 14x
=(30xy + 12y – 14x) – (24xy – 10y – 18x)
=30xy + 12y – 14x – 24xy + 10y + 18x
=18x – 14x + 30xy – 24xy + 12y + 10y
=4x + 6xy + 22y

1.c.
x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5x2)
= x3 – 3x2y2 – xy3 + 2x2y2 – xy3 + 5x3
Now, add the similar terms and rearrange.
= x3 + 5x3 – 3x2y2 + 2x2y2 – xy3 – xy3
= 6x3 – x2y2 – 2xy3

1.d.
2x2y2– 3xy + 4, 5 + 7xy – 3x2y2, and 4x2y2 + 10xy
= (2x2y2– 3xy + 4) + (5 + 7xy – 3x2y2) + (4x2y2 + 10xy)
= 2x2y2 – 3xy + 4 + 5 + 7xy – 3x2y2 + 4x2y2 + 10xy
Add similar elements and rearrange.
= 3x2y2 + 14xy + 9

1.e.
3a2b2−4ab+5
+ 8a2b2+12ab−9
- 5a2b2−6ab+15
6a2b2+2ab+11
2.
(2a2 + 9a + 10) x 4a
=2a2 x 4a + 9a x 4a + 10 x 4a
=8a3 + 36a2 + 40a

3.
5a²b² × (3a² - 4ab + 6b²)
= (5a²b²) × (3a²) + (5a²b²) × (-4ab) + (5a²b²) × (6b²)
= 15a⁴b² - 20a³b³ + 30a²b⁴

4.
(3x² + y²) . (2x² + 3y²)
= 3x² (2x² + 3y²) + y² (2x² + 3y²)
= (6x⁴ + 9x²y²) + (2x²y² + 3y⁴)
= 6x⁴ + 9x²y² + 2x²y² + 3y⁴
= 6x⁴ + 11x²y² + 3y⁴

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