How to Evaluate the Expression in Algebra Calculator. As with the difference of squares, we can apply these two formulas by substituting algebraic expressions for A and B into the two identities (A + B) 2 = A 2 + 2 AB + B 2 and (A − B) 2 = A 2 − 2 AB + B 2. Let’s consider two points on the unit circle. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. Exercise - 9.1 Question 1- Identify the terms, their coefficients for each of the following expressions. Type your expression into the box to the right. 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) (1) (100 − 1) = 1000000 − 1 − 300(99) = 1000000 − 1 − 29700 = 970299 Ex 2.5, 7 Eva (b) Five examples containing two variables are: (i) 7x – 2y (ii) 5x + 2y – 10 (iii) 6x + z – 2. 1. ∵ 78 = 80 - 2 and 82 = 80 + 2 ∴ 78 x 82 = (80 - 2) (80 + 2) = (80)2 - (2)2 [Using (a + b)(a - b) = a2 -b2] = 6400 - 4 = 6396 (i) Two terms like 7xy are: –3xy and 8xy. Give five examples of expressions containing one variable and five examples of expressions containing two variables. Paiye sabhi sawalon ka Video solution sirf photo khinch kar. Join now. First go to the Algebra Calculator main page. (i) `71^2` (ii) `99^2` (iii) `102^2` (iv) `998^2` (v) `5.2^2` (vi) `297 xx 303` (vii) `78 xx 82` (viii) `892` (ix) `105 xx 95`Type here in ASCII with maths in back tick: Doubtnut is better on App. BYJU’S experts have formulated these solutions which help students improve their conceptual knowledge on the concepts to obtain good marks in their exams. Syllabus. Log in. (i) 71 2 (ii) 99 2 (iii) 102 2 (iv) 998 2 (v) 5.2 2 (vi) 297 x 303 (vii) 78 x 82 (viii) 8.9 2 (ix) 1.05 x 9.5 Solution: Ex 9.5 Class 8 Maths Question 7. Textbook Solutions 5346. Because and it follows that lies in Quadrant III. Another way to prevent getting this page in the future is to use Privacy Pass. Solution Using a reciprocal identity, you have Using a Pythagorean identity, you have Pythagorean identity Substitute for Simplify. Using identities, evaluate. BTW, I looked everywhere in my book and there's no expample of this whatsoever so please help. Your expression may contain sin, cos, tan, sec, etc. Terms are added to form expressions. Performance & security by Cloudflare, Please complete the security check to access. Download the PDF Question Papers Free for off line practice and view the Solutions online. In Exercises $1-4,$ evaluate without using a calculator. Terms themselves can be formed as the product of factors.The term 4x is the product of its factors 4 and x. 10 + 2x(b) 1, 2x + 3y 2. 79 2 = 6241 Number that should be added to the given number to make it a perfect square = 6241-6203 = 38 The perfect square thus obtained is 6241 and its square root is 79. (iii) 1022 (iv) 998² (vii) 78 x 82 (viii) 8.92 (ix) 10.5 x 9.5 7. • Join now. 3x + 2 3. Evaluate the following using suitable identities (a) 82^2 - 18^2 (b) 95 X 105 (c) 196 X 204 (d) 65^2 - 20^2/85 - Math - Algebraic Expressions and Identities ∵ 297 = 300 - 3 and 303 = 300 + 3 ∴ 297 x 303 = (300 - 3) (300 + 3) = (300)2 - (3)2 [Using (a + b)(a - b) = a2 -b2] = 90000 - 9 = 89991 2) Explain two different methods of calculating \(\cos (195^{\circ}) \cos (105^{\circ})\), one of which uses the product to sum. sin^2(12)+sin^2(40)+sin^2(50)+sin^2(78) Show all procedures. -7xy(d) 1. Click hereto get an answer to your question ️ Using identities, evaluate 78 × 82 Then type the @ symbol. Classify the coefficient of each term in the expressionx2y2 – 10x2y + 5xy2 – 20. Evaluate using suitable identities. (ii) Two terms like 4mn 2 are: 6mn 2 and –2n 2 m. (iii) Two terms like 21 are: 51 and -7b. 2021 Zigya Technology Labs Pvt. Evaluate using identities 103*97 - 3550781 Based on Scrabble game, point values of each letter from A to Z ranging from 1to 10 are rnarked on tiles. 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