Factorization of Algebraic Expressions | math4u.vsb.cz

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

Project ID:

7100020130

Accepted:

SubArea:

Polynomials and fractions

Type:

Layout:

Question:

Match each expression with its factorization:

Question 1:

a b - a + b c - c

Answer 1:

(a + c) \cdot (b - 1)

Question 2:

a b - a - b c + c

Answer 2:

(a - c) \cdot (b - 1)

Question 3:

a - a b + c - b c

Answer 3:

(a + c) \cdot (1 - b)

Question 4:

a^{2} c^{2} - a^{2} + b^{2} c^{2} - b^{2}

Answer 4:

(a^{2} + b^{2}) \cdot (c^{2} - 1)

Question 5:

a^{2} c^{2} + a^{2} + b^{2} c^{2} + b^{2}

Answer 5:

$(a^{2} + b^{2}) \cdot (c^{2} + 1)$

Question 6:

a^{2} c^{2} - a^{2} - b^{2} c^{2} + b^{2}

Answer 6:

(a^{2} - b^{2}) \cdot (c^{2} - 1)

Question 7:

(a + b)^{2} - (1 + c)^{2}

Answer 7:

(a + b - c - 1) \cdot (a + b + c + 1)

Question 8:

(a + 1)^{2} - (b + c)^{2}

Answer 8:

(a - b - c + 1) \cdot (a + b + c + 1)

Question 9:

(a - b)^{2} - (1 + c)^{2}

Answer 9:

(a - b + c + 1) \cdot (a - b - c - 1)