1.

Q.1 Factor the following using identities wherever necessary1) x to the power 2- 93) x to the power 2 - 8x + 164) 2x to the power 2 -14x5) 20a square b - 25a3b6) a square + ac + ab + bc7) 15xy – 6x + 5y – 28) 3x + 9y9) 3xyz + 2710) 2abc + 7ac + 9bc

Answer»

Step-by-step explanation:

1.

{x}^{<klux>2</klux>}  - 9 \\  =  {x}^{2}  -  {3}^{2}  \\  = (x + 3)(x - 3)

2.

{x}^{2}  - 8x + 16 \\  =  {x}^{2}  - 2 \times x \times 4 +  {4}^{2}  \\  =  {(x - 4)}^{2}  \\  = (x - 4)(x - 4)

3.

{(2x)}^{2}  - 14x \\  = 4 {x}^{2}  - 14x \\  = 2x(2x - 7)

4.

20 {a}^{2} b - 25 {a}^{3} b \\  = 5 {a}^{2} b(4 - 5a)

6.

{a}^{2}  + ac + ab + bc \\  = a(a + c) + b(a + c) \\  = (a + c)(a + b)

7.

15xy - 6x + 5y - 2 \\  =

8.

3x + 9y \\  = 3(x + 3y)

9.

3xyz + 27 \\  = 3(xyz + 9)

10.

2abc   + 7ac + 9bc \\  = 9bc + 9abc  - 7abc   + 7ac \\  = 9bc(1  + a) - 7ac(b  -  1)

something went WRONG in question NUMBER 7 and 10.

and QUESTIONS number 2 is missing.



Discussion

No Comment Found

Related InterviewSolutions