Question

Factorize each of the following by regrouping:

1. 10ab + 6a + 5b +3

2. a(a + 3) – a – 3

3. 5xy – 2x – 5y2 + 2y

4. ba2 – 2a(1 - b) – 4

5. a

3 – 2a2b + 3ab2 – ​

Answer 1

Answer:

1.5b(2a+1)+3(2a+1)

(2a+1)(5b+3)

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

(a+3)(a-1)

3.5y(x-y)-2(x-y)

(x-y)(5y-2)

4.ba^2-2a+2ab-4

ba(a+2)-2(a+2)

(a+2)(ba-2)

5.a^3-2a^2b+4ab^2-ab^2

a(a^2-b^2)-2ab(a+b)

(a+b)(a-3b)a

Answer 2

Answer:

1. 5b(2a+1)+3(2a+1)

→(2a+1)(5b+3)

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

→(a+3)(a-1)

3. 5y(x-y)-2(x-y)

→(x-7)(5y-2)

4. ba^2-2a+2ab-4

→bala+2)-2(a+2)

→(a+2)(ba-2)

5. a-3-2a 2b+4ab2-ab 2

→a(a^2-b^2)-2ab(a+b)

→(a+b)(a-3b)a