Plz help me to solve this i am giving 50 points for this worksheet
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the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
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(i) (99)3 = (100 – 1)3 As per Identity, (a – b)3 = a3 – b3 – 3ab(a – b) (100 – 1)3 = (100)3 – (1)3 – 3(100)(1)(100- 1) (99)3 = 1000000 – 1 – 300(100 – 1) = 1000000 – 1 – 30000 + 300 = 970299 ∴ (99)3 = 970299 (ii) (102)3 = (100 + 2)3 As per Identity, (a + b)3 = a3 + b3 + 3ab(a + b) (100 + 2)3 = (100)3 + (2)3 + 3( 100)(2)( 100 + 2) = 1000000 + 8 + 600( 100 + 2) = 1000000 + 8 + 60000 + 1200 (100 + 2)3 = 1061208 ∴ (102)3= 1061208 (iii) (998)3 = (1000 – 2)3 As per Identity, (a – b)3 = a3 – b3 – 3ab(a – b) (1000 – 2)3 = (1000)3 – (2)3 – 3( 1000) (2)(1000 – 2) = 1000000000 – 8 – 6000(1000 – 1) = 1000000000 – 8 – 6000000 + 6000 = 994005992 ∴ (998)3 = 994005992
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