Free Printable Binomial Expansion

1.

Expand $\left(x-2y\right)^5$

a)

$x^5-10x^4y+40x^3y^2-80x^2y^3+80xy^4-16x^5$

b)

$x^5-20x^4y+40x^3y^2-80x^2y^3+80xy^4-32x^5$

c)

$x^5+10x^4y+40x^3y^2+80x^2y^3+80xy^4+32x^5$

d)

$x^5-10x^4y+40x^3y^2-80x^2y^3+80xy^4-32x^5$

2.

Write down the 9th term of $\left(2x^2-\frac{1}{x}\right)$

a)

$T_9=\left(\frac{21}{8}\right)\left(2x^2\right)^{13}\left(-\frac{1}{x}\right)^8$

b)

$T_9=\left(\frac{21}{9}\right)\left(2x^2\right)^{13}\left(-\frac{1}{x}\right)^9$

c)

$T_9=\left(\frac{21}{9}\right)\left(2x^2\right)^{12}\left(-\frac{1}{x}\right)^9$

d)

$T_9=\left(\frac{21}{8}\right)\left(2x^2\right)^{12}\left(\frac{1}{x}\right)^8$

3.

Find a if the coefficient of $x^{11}$ in the expansion of $\left(x^2+\frac{1}{ax}\right)^{10}$ is 15

a)

1

b)

2

c)

3

d)

4

4.

Find the coefficient of $x^5$ in the expansion of $\left(2-x\right)\left(3x+1\right)^9$

a)

91854

b)

88547

c)

11238

d)

51030

5.

Write down the equation of the circle with center (5, 1) and radius 2 units. Sketch the circle on coordinate plane and it to classroom.

a)

$\left(x+5\right)^2+\left(y+1\right)^2=4$

b)

$\left(x-5\right)^2+\left(y+1\right)^2=2$

c)

$\left(x-5\right)^2+\left(y-1\right)^2=4$

d)

$\left(x-5\right)^2-\left(y-1\right)^2=4$

6.

Find the center, radius and the equation of the circle.

a)

$\left(-4,\ -1\right)\ ,\ \ 13\ ,\ \ \left(x+4\right)^2+\left(y+1\right)^2=13$

b)

$\left(-4,\ -1\right)\ ,\ \ \sqrt{13}\ ,\ \ \left(x+4\right)^2+\left(y+1\right)^2=13$

c)

$\left(-4,\ -1\right)\ ,\ \ \sqrt{13}\ ,\ \ \left(x-4\right)^2+\left(y-1\right)^2=13$

d)

$\left(-4,\ 1\right)\ ,\ \ 13\ ,\ \ \left(x+4\right)^2+\left(y-1\right)^2=13$

Binomial Expansion

Total questions: 6

Worksheet time: 30mins

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