Question

Solve this with full method ...

Answer 1

Answer is given below :

1]

(2x - 3)² - 8x + 12

= (2x - 3) (2x - 3) - 4 (2x - 3)

= (2x - 3) (2x - 3 - 4)

= (2x - 3) (2x - 7)

2]

(3a - 1)² - 6a + 2

= (3a - 1) (3a - 1) - 2 (3a - 1)

= (3a - 1) (3a - 1 - 2)

= (3a - 1) (3a - 3)

= 3 (3a - 1) (a - 1)

3]

(2x - 5y)² - 6x + 15y

= (2x - 5y) (2x - 5y) - 3 (2x - 5y)

= (2x - 5y) (2x - 5y - 3)

4]

(3a + 1)² - 15ab - 5b

= (3a + 1) (3a + 1) - 5b (3a + 1)

= (3a + 1) (3a + 1 - 5b)

= (3a + 1) (3a - 5b + 1)

5]

(2x - 7)² - 8x + 28

= (2x - 7) (2x - 7) - 4 (2x - 7)

= (2x - 7) (2x - 7 - 4)

= (2x - 7) (2x - 11)

6]

(4m² + n²)² - 4m²b - n²b

= (4m² + n²) (4m² + n²) - b (4m² + n²)

= (4m² + n²) (4m² + n² - b)

7]

{I think that it needs a little correction!}

(7a - 2b)² - 21a + 6b

= (7a - 2b) (7a - 2b) - 3 (7a - 2b)

= (7a - 2b) (7a - 2b - 3)

8]

(2x + 3)² - 10x - 15

= (2x + 3) (2x + 3) - 5 (2x + 3)

= (2x + 3) (2x + 3 - 5)

= (2x + 3) (2x - 2)

= 2 (2x + 3) (x - 1)

9]

(4a - 3b)² - 20a + 15b

= (4a - 3b) (4a - 3b) - 5 (4a - 3b)

= (4a - 3b) (4a - 3b - 5)

10]

(5x + 7)² - 15x - 21

= (5x + 7) (5x + 7) - 3 (5x + 7)

= (5x + 7) (5x + 7 - 3)

= (5x + 7) (5x + 4)

{I hope that it helps you.}