Use suitable identities to find the following product: (x + 4)(x + 10)
Answer: To find the product of (x + 4)(x + 10) We know that (x + a)(x + b) =... View Article
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Use suitable identities to find the following product: (y2 + 3/2)(y2 – 3/2)
Answer: Given (y2 + 3/2)(y2 – 3/2) Using the identity, (x+y)(x–y) = x2– y 2 Here x = y2 y... View Article
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x3 – 4x2 + x + 6, g(x) = x–3
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree... View Article
Use the identity (x + a) (x + b) = x2 + (a + b) x + ab to find the following products. (i) (2a2 + 9) (2a2 + 5) (ii) (xyz – 4) (xyz – 2)
Answer: (i) (2a2+ 9)(2a2+ 5) (2a2+ 9) × (2a2+ 5) = 2a2 × (2a2+ 5) + 9 × (2a2+ 5)... View Article
Use the identity (x + a) (x + b) = x2 + (a + b) x + ab to find the following products. (i) (4x + 5) (4x – 1) (ii) (2x + 5y) (2x + 3y)
Answer: (i) (4x + 5)(4x – 1) (4x + 5) × (4x – 1) = 4x × (4x – 1)... View Article
Use the identity (x + a) (x + b) = x2 + (a + b) x + ab to find the following products. (i) (x + 3) (x + 7) (ii) (4x + 5) (4x + 1) (iii) (4x – 5) (4x – 1)
Answer: (i)(x + 3)(x + 7) (x + 3) × (x + 7) = x × (x + 7) +... View Article
Using (x + a) (x + b) = x2 + (a + b) x + ab, find (103 x 104)
Answer: 10712 103 x 104 103 x 104 can be written as (100 + 3) × (100 + 4) 103... View Article
Using (x + a) (x + b) = x2 + (a + b) x + ab, find (5.1 x 5.2)
Answer: 26.52 5.1 x 5.2 5.1 x 5.2 can be written as (5 + 0.1)(5 + 0.2) 5.1 x 5.2... View Article
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 x 98
Answer: 10094 103 x 98 103 x 98 can be written as (100 + 3)(100 + (-2)) 103 x 98... View Article
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 x 9.8
Answer: 95.06 9.7 x 9.8 9.7 x 9.8 can be written as (9 + 0.7 )(9 + 0.8) 9.7 x... View Article
Using a2 – b2 = (a + b)(a – b), find (i) 1532 – 1472 (ii) 12.12 – 7.92
Answer: 1800 1532 – 1472 Using the identity a2 – b2 = (a + b)(a – b) 1532 – 1472... View Article
Using a2 – b2 = (a + b)(a – b), find (i) 512 – 492 (ii) (1.02)2 – (0.98)2
Answer: 512 – 492 Using the identity a2 – b2 = (a + b)(a – b) 512 – 492 Put... View Article
Using appropriate properties find: -2/3 × 3/5 + 5/2 – 3/5 × 1/6
Answer: -2/3 × 3/5 + 5/2 – 3/5 × 1/6 By commutativity ⇒ -2/3 × 3/5 – 3/5 × 1/6... View Article
Using appropriate properties find: 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5
Answer: 2/5 × (-3/7) – 1/6 × 3/2 + 1/14 × 2/5 By commutativity ⇒ 2/5 × (-3/7) + 1/14... View Article
Using identities, evaluate 10.5 x 9.5
Answer: 99.75 10.5 x 9.5 10.5 can be written as (10 + 0.5) and 9.5 can be written as (10... View Article
Using identities, evaluate 1022
Answer: 10404 1022 1022 can be written as (100 + 2)2 1022 = (100 + 2)2 Using the identity (a... View Article
Using identities, evaluate 297 x 303
Answer: 89991 297 x 303 297 can be written as (300 – 3) and 303 can be written as (300... View Article
Using identities, evaluate 5.22
Answer: 27.4 5.22 5.22 can be written as (5 + 0.2)2 Using the identity (a + b)2 = a2 +... View Article
