Page 135 - Start Up Mathematics_8 (Non CCE)

2
2
(g) 72y - 10y - 42 (h) 55x + 30x + 85
2 2
3
(i) 9a b + 41a b + 20ab 3 (j) l x + Ê Á l + pˆ ˜ x + p ,( mq π, 0)
2
m Ë m q ¯ q
Some NCERT Textbook Questions
1. Factorize
2
(i) x + xy + 8x + 8y (ii) 15xy – 6x + 5y – 2
(iii) 15pq + 15 + 9p + 25p (iv) z – 7 + 7xy – xyz
2. Factorize the following expressions.
2
2
2 2
(i) a + 8a + 16 (ii) (l + m) –4lm (iii) 9x y – 16 (iv) 6xy – 4y + 6 – 9x
2
2 2
4
4
4
(v) a – b 4 (vi) x – (x – z) 4 (vii) a – 2a b + b 4 (viii) p + 6p – 16
Exemplar Problems
1. Factorized form of 23xy – 46x + 54y – 108 is:
(a) (23x + 54)(y – 2) (b) (23x + 54y)(y – 2)
(c) (23xy + 54y)(–46x – 108) (d) (23x + 54)(y + 2)
n 2 n 1
2. Some of the factors of + are , n and (n + 1). (True/False)
2 2 2

2
4
3. The value of (a + 1)(a – 1)(a + 1) is a – 1. (True/False)
4. Simplify the following.
2
(a) (1.5p + 1.2q) – (1.5p – 1.2q) 2
2
2
(b) (x – 4)(x + 4) + 16
5. Factorize the following.
2
2
(a) x = 17x + 60 (b) x + 1 + 23- x - 3
x 2 x
Ê 3p 7 ˆ 2 Ê 3 7 ˆ 2
6. Verify: Á Ë 7 + 6p¯ ˜ - Á Ë 7 p - 6p¯ ˜ = 2

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