Page 78 - Mathematics_Form_Two

Algebra

Exercise 4�5
2 2
19. 1 − a b
In question 1 to 6, factorize the quadratic
2
expressions by splitting the middle term: 20. 121a − 64x 2
21. Simplify (ab+ ) − 2 3c (ab+ ) .
1. x + 2 6x + 8
22. Factorize 63w−+ 2 − 7w by
FOR ONLINE READING ONLY
2. x + 2y + 2 2 3x + 9y + 2 7 23. If kx + 2 24x + 16 is a perfect
splitting the middle term.
Mathematics for Secondary Schools 4. 12m + 4u + 2 2 9u + 37m + 5 21 24. Factorize x 2 2 y - 2 and hence use
3.
square, find the value of k.

the results to evaluate the value
5.
of (5452) −548×548.
7
6.
2
25a +
22a +
2
y
saving tool expressed as x −
2
In question 7 to 14, factorize the 25. A certain company devised a cost- .
Data on cost-saving among
quadratic expressions by perfect individuals were collected and
square: expressed as 983 −17 . Use
2
2
8 16 the cost savings tool to find how
7. c + 2 c +
9 81 much the company saved on a
bulk purchase discount.
8. g + 2 22g + 121
26. A local farmer wants to calculate
9. 2 4 y + 4y - the exact difference in the
area between two fields, one
2
10. k + 2 34k + 289 measuring 1008 square metres
2
and the other measuring 992
11. w 2 16w - + 64 square metres. Find the difference
between the areas of the two
12. 4r 2 12r - + 9 fields.
13. 9 2 6 x + 1x -
Quadratic equations
14. 4 9a + 2 12a -
In the previous section, you learned
about quadratic expressions. A quadratic
In question 15 to 20, factorize the equation is formed when a quadratic
quadratic expressions by using the expression is equal to a specific value.
method of difference of two squares.
Quadratic equations take the general
2
2
15. 9x - 121 form ax + bx c+= 0.The solutions of
such an equation are also known as roots
16. x − 100 or zeros. There are also several methods
2
17. 4x 2 y - 2 for solving quadratic equations, including
factorization, completing the square, and
18. 64a − 25 the general quadratic formula.
2

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Student's Book Form Two

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MATHEMATIC F2 v5.indd 72