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Simplify 3 × a × 3 × a

The question asks you to simplify an expression, this means we need to write it with as few symbols and numbers as we can.Multiplication is commutative, this means that it doesn't matter which order we do...

Answered by Rob G. • Maths tutor

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Simplify 7 × e × f × 8

Always do the numbers first before dealing with the letters. We move the numbers to one side, and the letters to the other. (7 x 8) x e x f -> I have enclosed the

Answered by • Maths tutor

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Solve the integral int(sin^2(x))dx

Knowing that 1-2sin²(x) = cos(2x), substitute sin²(x) as: sin²(x) = (1-cos(2x))/2Use the linearity of the integral to split it into: Int(1/2) - Int(cos(2x)/2)dxWhich is in...

Answered by Maks M. • Maths tutor

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Solve the simultaneous equations x^2 +8y=20 and y=x+4

To begin you must substitute the value of y provided into the first equation. The would change the equation into the following form:x^2+8(x+4)=20. Now expand the bracket so that the equation becomes:x^2+8...

Answered by Anthony M. • Maths tutor

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Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides
ln(y)=ln(x^x), using laws of logs
ln(y)=xln(x), using product rule and implicit differentiation
dy/dx 1/y=ln(x)+1
dy/dx=(ln(x)+1)y
dy/dx=(l...

Answered by • Maths tutor

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