Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 25-2-2021

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

10.7 K+

10.5 K+

Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | integration question if x minus one by X is equals to 5 then find the value of x cube minus one by x cube so here here it is given x minus one by X is equals to 5 so here we take cube of the both side so here here take cube of of both of both sides in the above equation so here on the left hand side where we get x minus 1 by 8 and a cube is equal to 5 cube so here now we use an algebraic identity according to which a minus b cube is equal to x cube minus b cube - 3abc and in bracket a minus b so here here we get is equal to x cube minus one by x cube minus 3 into X into one by X into x minus |

01:00 - 01:59 | by X and hear that one is equal to 5 cube is 5 into 5 into 5 and that man is equals to 125 so here here this X simply cancel this one and a wicked x cube minus one by x cube minus 3 year text minus one by x is equal to 1 to 5 then the value of x minus one by X is equals to 5 so here we just simply replace that so here it is x cube minus one by x cube minus 3 into the value of x minus one by X here that one is equal to 5 Sohar BTech 3 into 5 is equal to 1 to 5 and hear the reason is because i x minus one by X is equals to 5 Sofia cricket x cube minus one by x cube is equal to 1 to 5 plus in 25 so that will be equal to 1 to 5 plus |

02:00 - 02:59 | 25 here this month is equals to 5 so here 3 into 5 15 so we add 15 21 25 so here we get the value of x cube minus one by x cube is equal to hear that will be equal to 140 and that's our answer |

**Definition of algebraic expressions**

**Operations on algebric expressions - Addition, Subtraction, Multiplication and Division**

**Some Important Identities - (i) `(a+b)^2 = a^2 + 2ab + b^2` (ii) `(a-b)^2 = a^2 - 2ab + b^2`**

**Important Identity - `(a-b)(a+b) = a^2 - b^2`**

**Important Identitiy `(x+a)(x+b) = x^2+(a+b)x+ab`**

**Expand each of the following (i) `(2x+5y)^2` (ii) `(x-3y)^2` (iii) `(x+5)(x-3)`**

**Evaluate each of the following by using Identities - (i) 103 x 97 (ii) 103 x 103 (iii) 97 x 97 (iv) 105 + 106**

**Simplify : `(a-1/a)(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)`**

**If `x+1/x = 4`; Find (i) `x^2+1/x^2` (ii) `x^4 + 1/x^4`**

**If `x^2+1/x^2` = 5 is given then find the value of (i) `x+1/x` (ii) ` x-1/x`**