Evaluate 98 3 using identity
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Evaluate 98 3 using identity
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WebUsing suitable identities, evaluate the following: 98×103 Solution We have, 98×103=(100−2)(100+3) = (100)2+(−2+3)100+(−2)×3 = 10000+100−6 = 10094 [using … WebEvaluate of the following: (98) 3 Advertisement Remove all ads Solution In the given problem, we have to find the value of numbers Given ( 98) 3 In order to find ( 98) 3 we …
WebExplanatory Answer Chapter 2 Extra Question 3 (i) (98) 3 (98) 3 = (100 - 2) 3 (100 - 2) 3 is of the form (a - b) 3 (a - b) 3 = a 3 - 3a 2 b + 3ab 2 - b 3 So, (100 - 2) 3 = 100 3 - 3 × 100 … WebQuestion By using the identity, evaluate (98) 3 A 925329 B 926913 C 993399 D 941192 Medium Solution Verified by Toppr Correct option is D) (98) 3=(100−2) 3 Using, (a−b) 3=a 3−b 3−3ab(a−b) =(100) 3−(2) 3−3(100)(2)(100−2) =1000000−8−600(100−2) =1000000−8−60000+1200 =1001200−60008 =941192 Was this answer helpful? 0 0 …
WebQuestion Using suitable identities, evaluate the following: 98×103 Solution We have, 98×103=(100−2)(100+3) = (100)2+(−2+3)100+(−2)×3 = 10000+100−6 = 10094 [using the identity, (x+a)(x+b)= x2+(a+b)x+ab] Suggest Corrections 31 Video Solution EXEMP - Grade 08 - Mathematics - Algebraic Expressions, Identities and Factorisation - Q86_12 …
WebThe algebraic identities are verified using the substitution method. In this method, substitute the values for the variables and perform the arithmetic operation. Another method to verify the algebraic identity is the activity method.
WebMar 22, 2024 · Transcript Example 23 Evaluate each of the following using suitable identities: (104)3 We write 104= 100 + 4 (104)3 = (100 + 4)3 Using (a + b)3 = a3 + b3 + 3ab (a + b) Where a = 100 & b = 4 = (100)3 + (4) 3 + 3 (100) (4) (100 + 4) = 1000000 + 64 + 3 (100) (4) (104) = 1000000 + 64 + 124800 = 1124864 Next: Example 23 (ii) → Ask a doubt protecting container plants from freezingWebMar 28, 2024 · Transcript Ex 2.5, 7 Evaluate the following using suitable identities: (i) (99)3 We write 99 = 100 – 1 (99)3 = (100 − 1)3 Using (a – b)3 = a3 – b3 – 3ab (a – b) Where a = 100 & b = 1 = (100)3 − (1)3 − 3 (100) … protecting consumer privacyWebAug 13, 2024 · Using suitable identity , evaluate the following (i) `103^(3)` (ii) `101xx102`(iii) `999^(2)` asked Aug 24, 2024 in Polynomials by Dhruvan ( 88.7k points) class-9 protecting counters at dishwasher steamWeb98 3 = 1000000 + 3 (10000) (-2) + 3 (100) (4) - 8 = 1000000 - 60000 + 1200 - 8 = 941192 8. Answer : 993 = (100 - 1)3 We know that (a + b)3 = a3 + 3a2b + 3ab2 + b3 Substitute a = 100, and b = -1. (100 - 1)3 = 1003 + 3 (100)2(-1) + 3 (100) (-1)2 + (-1)3 993 = 10,00,000 + 3 (10000) (-1) + 3 (100) (1) - 1 = 10,00,000 - 30,000 + 300 - 1 = 970,299 9. protecting credit scoreWebMar 21, 2024 · Q121 Evaluate (97)^3 using a suitable Identity Evaluate 97 ^3 Evaluate 97 whole cube 1.1K views 10 months ago Q57 Expand (x+2y+4z)^2 Find the … reshiram pokemon blackWebThe evaluated values of the following (99) 3 , (102) 3, and (998) 3 using suitable identities are 970299, 1061208, and 994011992 respectively. ☛ Related Questions: Factorise the following using appropriate identities: (i) 9x2 + 6xy + y2 (ii) 4y2 - 4y + 1 (iii) x2 - y2/100 reshiram pokemon card worthWebUsing suitable identity evaluate the following: (i) 98 3 (ii) 188 × 212. Solution Video Solution. Question 4. If (x - 2a) is a factor of 2x 4 - 4ax 3 + 7x 2 - 13ax - 18, find the value of a. Solution Video Solution. Question 5. Without actual division prove that (x 2 - x - 2) divides 2x 4 + x 3 - 5x 2 - 8x - 4. protecting couch from robot vacuum