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4.2 Expanding (a + bx)^n

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Question 63

A model for the energy output, $E (x)$ , of a specialized transducer under mechanical stress is defined by the function $E(x) = (3 + 4x)^4$ , where $x$ is the applied strain. The expansion of this function is given by

3 + 4x)^4 = A + Bx + 864x^2 + 768x^3 + 256x^4

Find the values of the constants $A$ and $B$ .

[2]

Show that

3 + 4x)^4 - (3 - 4x)^4 = Cx + Dx^3

where $C$ and $D$ are constants to be found.

[3]

Hence, or otherwise, find

\int \left( (3 + 4x)^4 - (3 - 4x)^4 \right) dx

[2]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.

4.2 Expanding (a + bx)^n

Question bank

4.2 Expanding (a + bx)^n

Easy Medium

Question 63

3 + 4x)^4 = A + Bx + 864x^2 + 768x^3 + 256x^4

Find the values of the constants $A$ and $B$ .

[2]

Show that

3 + 4x)^4 - (3 - 4x)^4 = Cx + Dx^3

where $C$ and $D$ are constants to be found.

[3]

Hence, or otherwise, find

\int \left( (3 + 4x)^4 - (3 - 4x)^4 \right) dx

[2]

Markscheme

4.2 Expanding (a + bx)^n Questions

A Level
Maths
4.2 Expanding (a + bx)^n

99 exam-style questions on Edexcel A Level Maths 4.2 Expanding (a + bx)^n. Each one has a worked solution and a mark scheme showing where the marks go.