Polynomials and fractions

Factorization of Algebraic Expressions

Submitted by michaela.bailova on Wed, 08/21/2024 - 15:29

Submitted by michaela.bailova on Thu, 04/18/2024 - 15:07

Submitted by michaela.bailova on Wed, 04/17/2024 - 22:29

Level:

Factor the expression:

(2 - b) (b - 7) - 5 (b - 7) (2 b - 3) - (7 - b)^{2}

12 (b - 7) (2 - b)

12 (b - 7) (b - 2)

10 (b - 7) (1 - b)

10 (b - 7) (b - 1)

Level:

Factor the expression:

(4 + a) (a - 3) - (3 - a)^{2} - 3 (a - 3) (2 a + 1)

2 (a - 3) (2 - 3 a)

2 (a - 3) (3 a - 2)

2 (3 - a) (2 a + 1)

2 (a - 3) (2 a + 1)

Level:

Factor the expression:

4 (3 y - x)^{2} - 25 (y - 2 x)^{2}

(8 x + y) (11 y - 12 x)

(8 x + y) (11 y + 8 x)

(y - 12 x) (11 y - 12 x)

(y - 12 x) (11 y + 8 x)

Level:

Factor the expression:

9 (3 t - 2 z)^{2} - 16 (t - 2 z)^{2}

(5 t + 2 z) (13 t - 14 z)

(5 t + 2 z) (3 t - 4 z)

(5 t - 14 z) (13 t - 14 z)

(5 t - 14 z) (3 t - 4 z)

Level:

Simplify:

a^{2} (3 a - b) - [b^{2} (a + 3 b) - b (3 b^{2} + a b - a^{2}) - 3 a^{3}]

2 a^{2} (3 a - b)

- 2 b^{2} (a + 3 b)

2 (3 a^{3} - 3 b^{3} - a b^{2})

6 (a^{3} - b^{3})

Level:

Simplify:

- a b (a + b) - a [3 b^{2} - a (2 a + 5 b) - b (3 b - 4 a)]

a (2 a^{2} - b^{2})

a (2 a^{2} - 7 b^{2})

a (2 a^{2} + 8 a b - 7 b^{2})

a (2 a^{2} + 8 a b - b^{2})

Level:

Simplify:

r s (2 r - s) - {r^{3} - [s^{2} (r - 3 s) - r^{2} (2 s - r)]}

- 3 s^{3}

3 s^{3} - 2 r^{3}

3 s^{3}

3 s^{3} - 2 r^{3} + 4 r^{2} s