Question

Question 1

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)

(e) (1.1m - 0.4) (1.1m + 0.4)

(f) (a^2+ b^2) (- a^2+ b^2)

(g) (6x - 7) (6x + 7)

(h) (- a/2 + c/2) (- a/2 + c/2)

(i) [(p/8)+(3q/4)] [(p/8)+(3q/4)]

(j) (3a + 9b) (3a - 9b)

(k) 2(a - 9)^2

(l) 5(xy - 3z)^2

(m) (6x+ 5y)^2

(n) 36[(3p/2}) + (2q/3)]^2

(o) (x - 0.5y)^2

(p) (2xy - 5y)^2


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)

(iii) (x - 5) (x - 1)

(iv) (9x - 5) (9x - 1)

(v) (2x + 5y) (2x + 3y)

(vi) (2a^2+ 9) (2a^2+ 5)


Question 3

Simplify the following

(i) (x2- y2)^2 + 4x^2 y^2

(ii) (p + q)^2- (p - q)^2 + p^2 q^2

(iii) (2m - 8n)^2+ (2m + 8n)^2

(iv) (4m + 5n)^2+ (5m + 4n)^2 + (4m + 5n) (4m -5n)

(v) (.5p - 1.5q)^2- (.5p - 1.5q)^2 +p^2 q^2

(vi) (ab - bc)^2+2ab²c

(vii) (m^2- n^2m)^2+ 2m^3 n^2


Question 4

Using identities, evaluate.

(a) 91²

(b) 89²

(c) 2022

(d) 999²

(e) 1.2²

(f) 397 x 403

(g) 48 x 52

(h) 5.12

(i) 612- 592

(j) 11.12- 9.92

(k) 503 x 504

(l) 2.1 x 2.2

(m) 103 x 98

(n) 9.7 x 9.8

(o) 7292- 2712


Please help me in this
with steps

Answer 1

Answer:

See the attachment.

Step-by-step explanation: