F2 Quiz2 Ans

  • October 2019
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Quiz 2 – Formulas (Answer)

Page 1

Kwok Tak Seng Catholic Secondary School F.2 Mathematics Quiz 2 – Formulas (Answer) Factorize and simplify each of the following. 1. 6x3y − 15xy2 = 3 xy (2 x 2 − 5 y )

3.

5.

(m − n)2 − 2n + 2m = ( m − n ) 2 + 2m − 2 n = (m − n) 2 + 2(m − n) = ( m − n)[( m − n) + 2] = ( m − n)( m − n + 2) − 12a 3b 42a 2 − 2ab = 7

[30 marks] 2.

(3a − 2b) + (3a − 2b) (4a + b) = (3a − 2b)[(3a − 2b) + ( 4a + b)] = (3a − 2b)(7 a − b)

4.

(x − y)2 + y(y − x) = ( x − y) 2 − y( x − y) = ( x − y )[( x − y ) − y ] = ( x − y )( x − 2 y )

6.

2

c 2 − 3cd cd − 3d 2 c(c − 3d ) = d (c − 3d ) =

3b 2 (−2ac) 2 × 9b 3 c − 2a 2

7. =

=

2c 3b

2 1 + x −1 x + 2

9.

x(2 x + y ) 1 xy × × y ( x − 3 y ) ( x − 3 y ) y (2 x + y )

x2 = y( x − 3 y) 2

3b 2 4a 2 c 2 = × − 2a 2 9b 3 c 2c = − 3b =−

2 x 2 + xy xy ÷ ( x − 3 y) × 2 2 xy + y 2 xy − 3 y

8.

3b 2 (−2ac)(−2ac) × 2 9b 3 c − 2a

c d

x − 2 3 − 2x − x − 3 6 − 2x

10.

=

2( x + 2) ( x − 1) + ( x − 1)( x + 2) ( x − 1)( x + 2)

=

x − 2 3 − 2x − x − 3 2(3 − x)

=

2( x + 2) + ( x − 1) ( x − 1)( x + 2)

=

x − 2 3 − 2x + x − 3 2( x − 3)

=

2x + 4 + x − 1 ( x − 1)( x + 2)

=

2( x − 2) + (3 − 2 x) 2( x − 3)

=

3x + 3 ( x − 1)( x + 2)

=

2x − 4 + 3 − 2x 2( x − 3)

=

3( x + 1) ( x − 1)( x + 2)

=

−1 2( x − 3)

=−

1 2( x − 3)

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