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This is an example of completing the square. Notice that when we expand y = (x + a)^2 + b we get y = x^2 + 2ax + a^2 + b. By comparing coefficients (ie, making sure the number x is multiplied by and the c...

Lenin introduced the NEP in the aftermath of the ruinous Russian Civil War of 1917-1922. The Soviet state had pursued a policy of 'War Communism' during the war in order to keep the Red Army well provisio...

This is a typical AS-level Maths question.

1. We see it’s a definite integral so start by drawing some big square brackets with the “limits” (2 and 1).

2. We go through the ex...

Fractional distillation is the technique to separate different components present in the crude oil on the basis of their boiling points. Crude oil is a mixture of many useful hydrocarbons and it is very i...

Enzyme are biological catalyst that speeds up the rate of the reaction without being used up. Enzymes speeds up the rate of chemical reaction by providing an alternative route to the reaction which loweri...