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# F.2Maths!!!!!!!!!!!40p!!!!!!

5. Factorize the following expressions.

(a) 36a^2− 9

(b) 27 − 12b2

(c) 2s2− 50t2 (d) 180u2− 20v2

6. Factorize the following expressions.

(a) 245a2

+ 210ab + 45b2

(b) 72a2

+ 168ab + 98b2

(c) 81a2

+ 36b2

+ 108ab

(d) 44a2

+ 99b2

+ 132ab

7. Factorize the following expressions.

(a) 28a2

− 140ab + 175b2

(b) 45a2

− 120ab + 80b2

(c) 2x2

+ 2y2

− 4xy

(d) 12x2

+ 3y2

− 12xy

8. Factorize the following expressions.

(a) (x − y)2

− 25

(b) 64 − (a + b)2

(c) x^2

− (2x + 5y)^2 (d) 9p^2

− (4p − 5q)^2

唔駛做NO.8

### 2 Answers

- 螞蟻雄兵Lv 71 decade agoFavorite Answer
5. Factorize thefollowing expressions.

(a) 36a ^2− 9

=9( 4a ^2－1)

=9( 2a +1)( 2a－1)

(b) 27 − 12b^2

=3(9－4b^2)

=3(3+2b)(2－2b)

(c) 2s^2− 50t^2

=2(s^2－25t^2)

=2(s+5t)(s－5t)

(d) 180u^2− 20v^2

=20(9u^2－v^2)

=20(3u+v)(3u－v)

6. Factorize the following expressions.

(a) 245a ^2+ 210ab+ 45b^2

=5( 49a ^2+42ab+9b^2)

=5( 7a +3b)^2

(b) 72a ^2+ 168ab+ 98b^2

=2( 36a ^2+84ab+49b^2)

=2( 6a +7b)^2

(c) 81a ^2++ 36b^2+108ab

=9( 9a ^2+12ab+4b^2)

=9( 3a +2b)^2

(d) 44a ^2+ 99b^2+132ab

=11( 4a ^2+12ab+9b^2)

=11( 2a +3b)^2

7. Factorize the following expressions.

(a) 28a ^2− 140ab+ 175b^2

=7( 4a ^2－20ab+25b^2)

=7( 2a－5b)^2

(b) 45a ^2− 120ab+ 80b^2

=5( 9a ^2－24ab+16b^2)

=5( 3a－4b)^2

(c) 2x^2+ 2y^2− 4xy

=2(x^2－2xy+y^2)

=2(x－y)^2

(d) 12x2+ 3y2− 12xy

=3(4x^2－4xy+y^2)

=3(2x－y)^2

8. Factorize the following expressions.

(a) (x − y)^2− 25

=(x-y+5)(x-y-5)

(b) 64 − (a + b)^2

=(8+a+b)(8－a－b)

(c) x^2− (2x + 5y)^2

=(x+2x+5y)(x－2x－5y)

=－(3x+5y)(x+5y)

(d) 9p^2− (4p− 5q)^2

=(3p+4p－5q)(3p－4p+5q)

=(7p－5q)(5q－p)

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- 1 decade ago
(a) 36a^2− 9

9(4a^2-1)

(b) 27 − 12b2

3(9-4^2)

(c) 2x2+ 2y2− 4xy

2(x2+y2-2xy)

2(x2-2xy+y2)

2(x+y)^2

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