polynomials

Example 23: Evaluate each of the following using suitable identities: (i) (104)3 (ii) (999)3 Example 22 Example 24 Prerequisite Not a big deal for anyone. Split these in (100 + 4) and (1000 – 1) and then find the cube…

Example 22: Write the following cubes in the expanded form: (i) (3a + 4b)3 (ii) (5p – 3q)3 Example 21 Example 23 Prerequisite Easy!!! If you know the trick to write these identities quickly using pascal’s triangle, you will save…

Example 21: Factorise 4×2 + y2 + z2 – 4xy – 2yz + 4xz. Example 20 Example 22 Prerequisite Negetive terms in the middle does not make any difference and we will use the same identity that we used in…

Example 20: Expand (4a – 2b – 3c)2. Example 19 Example 21 Prerequisite It is exact copy of previous question. the negative terms does not make any difference. This question can also be written as (4a + (-2b) + (-3c)).…

Example 19: Write (3a + 4b + 5c)2 in expanded form. Example 18 Example 20 Prerequisite This seems bit tricky and difficult identity to remember but you need not pressurise yourself to remember the expanded form of such identities. You…

Example 18: Factorise: (i) 49a2 + 70ab + 25b2 (ii) 24/4 x2 – y2 / 9 Example 17 Example 19 Prerequisite The most common algebraic identities are used to solve this question. Learn how to quickly write expanded form of these…

Example 17: Evaluate 105 × 106 without multiplying directly. Example 16 Example 18 Prerequisite As mentioned in the previous question, you must understand and remember few very important algebraic identities. Algebraic Identities

Example 16: Find the following products using appropriate identities: (i) (x + 3) (x + 3) (ii) (x – 3) (x + 5) Example 15 Example 17 Prerequisite Extremely important for every student to learn and remember few algebraic identities.…