Visitors Online: 77 | Thursday 14th November 2019 CBSE Guess > Papers > Important Questions > Class X > 2014 > Mathematics > Mathematics By Mr. Ajai Kumar Shukla CBSE CLASS X Mathematics Mathematics (Paper) - Mr. Ajai Kumar Shukla Algebra (a + b)2 = a2 + 2ab + b2 a2 – b2 = (a + b) (a – b) (a – b)2 = a2 – 2ab + b2 (a – b)3 = a3 – 3a2b + 3ab2 – b3 (a + b)3 = a3 + 3a2b + 3ab2 + b3 a3 – b3 = (a – b) (a2 + ab + b2) a3 + b3 = (a + b) (a2 – ab + b2) x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + y2 – xy – yz – zx) = ½ (x + y + z) [ (x – y)2 + (y – z)2 + (z – x) 2] a3 – b3 + c3 + 3abc = (a – b + c) (a2 + b2 + c2 + ab + bc – ca) Comparing Quantities Profit = S.P. – C.P. Loss = C.P. – S.P Profit % = (Profit / C.P.) x 100 Loss % = (Loss / C.P.) x 100 C.P. = S.P. / (1+P%) S.P. = C.P. – (Loss% x C.P.) Amount = Principal + Interest1 S.I. = (P x R x T)/100, P = Principal, R = Rate, T = Time, S.I. = Simple intrest for yearly A = P (1 + R/100)n A = Amount, R = Rate, n = Numbers of years Discount = Marked Price – Sale Price. Discount % = (Discount / Marked Price) x 100 A = P (1 + R/200)2n A = Amount, R = Rate, n = Number of years, for half yearly. Mensuration Perimeter of a regular Polygon = Number of sides x length of one side. Area of Parallelogram = base x height Area of trapezium = half of the sum of the length of parallel sides x perpendicular distance between them. Area of rhombus – half the product of its diagonal Volume of cube = (I)3 1 cm3 = 1ml 1 L = 1000 cm3 1 m3 = 1000000 cm3 a0 = 1   Submitted By Mr. Ajai Kumar Shukla, Rachna Tutorials Mobile : 9453292712 Email Id : ajaishukla89@gmail.com