9000146705
Level:
A
Expand the following expression.
\[
(3 - 2a)^{2} - (3a - 4)(3a + 4)
\]
\(- 5a^{2} - 12a + 25\)
\(- 5a^{2} - 12a - 7\)
\(- 5a^{2} + 25\)
\(- 5a^{2} - 7\)
Polynomials and Rational Expressions
9000146706
Level:
A
Expand the following polynomial.
\[
(2x + 3)^{2} - (2 - x)^{2}
\]
\(3x^{2} + 16x + 5\)
\(3x^{2} + 8x + 13\)
\(3x^{2} + 13\)
\(3x^{2} + 5\)
9000146204
Level:
A
Expand the following expression.
\[
\left (\frac{a}
{2} + 4b^{3}\right )^{2}
\]
\(\frac{a^{2}}
{4} + 4ab^{3} + 16b^{6}\)
\(\frac{a^{2}}
{4} + 2ab^{3} + 16b^{6}\)
\(\frac{a^{2}}
{4} + 4ab^{3} + 16b^{5}\)
\(\frac{a^{2}}
{4} + 2ab^{3} + 16b^{5}\)
9000146206
Level:
A
Factor the following expression.
\[
x^{2}y^{10} - 81
\]
\(\left (xy^{5} - 9\right )\left (xy^{5} + 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{5} - 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{2} + 9\right )\)
\(\left (xy^{5} - 9\right )\left (xy^{2} - 9\right )\)
9000146205
Level:
A
Factor the following expression.
\[
9a^{6} - 4b^{2}
\]
\(\left (3a^{3} - 2b\right )\left (3a^{3} + 2b\right )\)
\(\left (3a^{3} - 2b\right )\left (3a^{3} - 2b\right )\)
\(\left (3a^{3} - 2b\right )\left (3a^{2} + 2b\right )\)
\(\left (3a^{3} - 2b\right )\left (3a^{2} - 2b\right )\)
9000146704
Level:
A
Expand the following polynomial.
\[
(3 - x)(x - 2) - (x + 1)(x - 3)
\]
\(- 2x^{2} + 7x - 3\)
\(- 2x^{2} + 3x - 9\)
\(- 2x^{2} + 3x - 3\)
\(- 2x^{2} + 7x - 9\)
9000146703
Level:
A
Expand the following expression.
\[
(a - 2)(5a + 3) - (2a + 1)(3 - a)
\]
\(7a^{2} - 12a - 9\)
\(3a^{2} - 12a - 9\)
\(7a^{2} - 2a - 9\)
\(3a^{2} - 2a - 9\)
9000146207
Level:
B
Factor the following expression.
\[
4a^{2} -\left (a - 1\right )^{2}
\]
\(\left (a + 1\right )\left (3a - 1\right )\)
\(\left (a - 1\right )\left (3a - 1\right )\)
\(\left (a + 1\right )\left (3a + 1\right )\)
\(\left (a - 1\right )\left (3a + 1\right )\)
9000146208
Level:
B
Factor the following expression.
\[
\left (2x - 1\right )^{2} -\left (x + 3\right )^{2}
\]
\(\left (x - 4\right )\left (3x + 2\right )\)
\(\left (x - 4\right )\left (3x - 2\right )\)
\(\left (x + 4\right )\left (3x + 2\right )\)
\(\left (x + 4\right )\left (3x - 2\right )\)
9000146209
Level:
C
Factor the following expression.
\[
27a^{3} - 8b^{9}
\]
\(\left (3a - 2b^{3}\right )\left (9a^{2} + 6ab^{3} + 4b^{6}\right )\)
\(\left (3a + 2b^{3}\right )\left (9a^{2} - 6ab^{3} + 4b^{6}\right )\)
\(\left (3a - 2b^{3}\right )\left (9a^{2} + 12ab^{3} + 4b^{6}\right )\)
\(\left (3a + 2b^{3}\right )\left (9a^{2} - 12ab^{3} + 4b^{6}\right )\)