Question

Chap 9: Algebraic expression
1. Find the value of x if 8x=352-27
2. Simplify the following
(1) (x² - y² + 44²7²
(m (p+q)-(p-9) + p?q?
3. Use the identity (x + a) (x + b) = x2 + (a + b) x + ab to find the following products,
(i) (p + 10) (p + 11)
(ii) (4x + 9) (4x + 12)
4. Use a suitable identity to get each of the following products
a) (p-11) (p + 11)
b) (2y + 5) (2y - 5)
c) (12a - 9) (12a +9)
d) (2a-1/2)(2a-1/2)
5. Using identities, evaluate.
a) 912
b) 89
6. (a) Subtract 8a - 7ab + 3b - 20 from 20a - 9ab + 5b - 20
(b) Subtract 3pq + 5gr - 7pr+1 from -4pq +2qr - 2pr + 5pqr+1
(c) Subtract 4p'q - 4pq - 5pq - 8p + 74 - 18from 18 - 3p - 119 + 5pq-2pq?​

Answer 1

3)1: p^2+21p+110

3)2: 16x^2+84x+21

4)1: p^2-121

4)2: 4y^2-25

4)3: 144a^2-81

4)4: 4a^2+1/4-2a