Question

Using IDENTITIES, find the following products.
(a) (3 + 2)(3 + 2)
(b) (^2 − )^2
(c) (5 + 2)(5 − 2)
(d) (x – 5) (x + 5) + 25
(e) (2x – 5) (2x – 1)
2. Find the value of 17 = 128^2−77^2
.
3. Show that (3m + 7)^2 – 84m = (3m – 7)^2

Answer 1

Answer:

$(3 + 2)(3 + 2) = {(3 + 2})^{2} \\ = {(x + y)}^{2} = x {}^{2} + 2xy + {y}^{2} \\ {(3 + 2)}^{2} = {3}^{2} + 2 \times 3 \times 2 + {2}^{2} \\ = 9 + 12 + 4 \\ = 25$