Question

express the following as in the form of (a+b)(a-b) 1)a2-64. 2)20a2-45b2.3)36x2y2-8.4)x2-2xy+y2-z2.5)49x2-1.​

Answer 1

Answer:

1. (a-8)(a+8)

2. 5(4a²-9b²) = 5(2a+3b)(2a-3b)

3. (6xy-2√2)(6xy+2√2)

4. (x-y)²-z² = (x-y-z)(x-y+z)

5. (7x-1)(7x+1)

Step-by-step explanation:

Answer 2

Answer:

(i) a2 – 64 = a2 – 82 = (a + 8)(a – 8)

(ii) 20a2 – 45b2 = 5(4a2 – 9b2) = 5(2a + 3b)(2a – 3b)

(iii) 32x2y2 – 8 = 8( 4x2y2 – 1) = 8(2xy + 1)(2xy – 1)

(iv) x2 – 2xy + y2 – z2 = (x – y)2 – z2 = (x – y – z)(x – y + z)

(v) 49x2 – 1 = (7x)2 – (1)2 = (7x + 1)(7x – 1)

Step-by-step explanation:

I HOPE THIS IS HELPFUL :)