and then there were none chapter 9


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Factorising a3b3
The product of a + b and a 2 - ab + b 2 is a 3 + b 3 . Hence when a 3 + b 3 is factorised, we get: a 3 + b 3 = (a + b) (a 2 - ab + b 2 ) Similarly, a 3 - b 3 = (a - b) (a 2 + ab + b 2 ) Factorise: x 3 + 8 x 3 + 8 = (x) 3 + (2) 3 = (x + 2) (x 2 - 2x + 4) Factorise 64x 3 - 125. ..
Question 9
Question: Solve the following equation: Answer: 4x + 7 = -3 (2x + 1) (By cross-multiplication) 4x+7=-6x-3 4x+6x=-3-7 10x=-10 x=-..
Table 9
Construct the required function as follo..
Class
Inclusive type of frequency distribution can be converted into exclusive type as in Table (..
Examples of terminating decimal:
2.793 represents 2 units, seven-tenths, nine-hundredths and three-thousandths or using fraction notation: (a) (b)..
Suggested answer:
Verify by actual multiplication. Verification by actual multiplication: ..
Factorisation using Identities
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..
Suggested answer:
x=35 Antecedent=..
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