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Question 5: Factorise: (i) 4×2 + 9y2 + 16z2 + 12xy – 24yz – 16xz (ii) 2×2 + y2 + 8z2 – 2 √2 xy + 4 √2 yz – 8xz Question 4 Question 6 Prerequisite Algebraic Identities
Read MoreQuestion 4: Expand each of the following, using suitable identities: (i) (x + 2y + 4z)2 (ii) (2x – y + z)2 (iii) (–2x + 3y + 2z)2 (iv) (3a – 7b – c)2 (v) (–2x + 5y – 3z)2…
Read MoreQuestion 3: Factorise the following using appropriate identities: (i) 9×2 + 6xy + y2 (ii) 4y2 – 4y + 1 (iii) x2 – y2/100 Question 2 Question 4 Prerequisite Algebraic Identities
Read MoreQuestion 2: Evaluate the following products without multiplying directly: (i) 103 × 107 (ii) 95 × 96 (iii) 104 × 96 Question 1 Question 3 Prerequisite Algebraic Identities
Read MoreQuestion 1: Use suitable identities to find the following products: (i) (x + 4) (x + 10) (ii) (x + 8) (x – 10) (iii) (3x + 4) (3x – 5) (iv) (y2 + 3/2 ) (y2 – 3/2 )…
Read MoreExample 25: Factorise : 8×3 + y3 + 27z3 – 18xyz Example 24 Class 9 | Home Prerequisite As mentioned in the previous question, you must learn the method to write the most commonly used identities. Watch the following tutorial…
Read MoreExample 24: Factorise 8×3 + 27y3 + 36x2y + 54xy2 Example 23 Example 25 Prerequisite You must be aware of the identity: (x + y)3 = x3 + y3 + 3xy (x + y). if you feel that you cannot…
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Rational root theorem: Given a polynomial P(x) = anxn + an-1xn-1 + …… + a1x + a0 with integral coefficients, an≠0. If has a rational root p/q with p & q relatively prime positive integers, then p is a divisor of…
Read MoreExample 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…
Read MoreExample 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…
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