Expansions
Expansions - We shall discuss expansions of binomials and trinomi..
Expansions
In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessary. These expansions help us to avoid elab..
Expansibility
When pressure is applied on a gas, it contracts. Conversely, when pressure is released the gas expands. When the temperature is increased, the particles gain more energy, move faster and move away from each other. As a result the intermolecular attraction becomes less prominent. The volume of the ..
Expansions
Summary - (a + b) (a - b) = a 2 - b 2 (x + a) (x + b) = x 2 + (a + b)x + ab. (a + b) 3 = a 3 + b 3 + 3ab (a + b) = a 3 + 3a 2 b + 3ab 2 + b 3..
Chris has a collection of coins in his piggy bank. Find the total numb..
Chris has a collection of coins in his piggy bank. Find the total number of coins in the piggy bank. => 21 or 10 or 7 or 4..
Every day Francis puts $5 in his piggy bank. If he started on Sunday, ..
Every day Francis puts $5 in his piggy bank. If he started on Sunday, what would be the total amount in his bank on Friday? => $20 or $25 or $30 or $15..
Chris has a collection of coins in his piggy bank. Identify the type o..
Chris has a collection of coins in his piggy bank. Identify the type of coins that is least in number. => dimes or quarters or nickels or pennies..
A farmer took a loan of $6845 from a bank. He repaid an amount of $532..
A farmer took a loan of $6845 from a bank. He repaid an amount of $532 by the end of the year. How much does he need to repay the bank? => $6414 or $6424 or $5524 or $6313..
Matt saved $50.25 in his piggy bank. He spent $37.15 on fruits. Estima..
Matt saved $50.25 in his piggy bank. He spent $37.15 on fruits. Estimate the balance in his piggy bank. => $10 or $14 or $13 or $87..
A tree stands vertically on the bank of a river. The angle of elevati..
A tree stands vertically on the bank of a river. The angle of elevation of the top of the tree from a point on the other bank directly opposite to the tree is measured as 70°. The angle of elevation of the top of the tree from 15 ft behind this point on the same bank..
Result
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