F.2Maths!!!!!!!!!!!40p!!!!!!

3.(a)
28ax + 6by + 14ay + 12bx
= (28ax + 14ay) + (12bx + 6by)
= 14a(2x + y) + 6b(2x + y)
= (14a + 6b)(2x + y)
= 2(7a + 3b)(2x + y) ...... (answer)

3.(b)
30ax + 35by + 21ay + 50bx
= (30ax + 21ay) + (50bx + 35by)
= 3a(10x + 7y) + 5b(10x + 7y)
= (3a + 5b)(10x + 7y) ...... (answer)

3.(c)
18ax + 15by - 9ay - 30bx
= (18ax - 9ay) + (- 30bx + 15by)
= 9a(2x - y) - 15b(2x - y)
= (9a - 15b)(2x - y)
= 3(3a - 5b)(2x - y) ...... (answer)

3.(d)
165ax + 18by - 30ay - 99bx
= 165ax - 30ay - 99bx + 18by
= 15a(11x - 2y) - 9b(11x - 2y)
= (15a - 9b)(11x - 2y)
= 3(5a - 3b)(11x - 2y) ...... (answer)


4.(a)
8a²c + 4a²d - 8b²d - 16b²c
= (8a²c + 4a²d) + (-16b²c - 8b²d)
= 4a²(2c + d) - 8b²(2c + d)
= (4a² - 8b²)(2c + d)
= 4(a² - 2b²)(2c + d) ...... (answer)

4.(b)
6a²c + 30a²d - b²c - 5b²d
= (6a²c + 30a²d) + (-b²c - 5b²d)
= 6a²(c + 5d) - b²(c + 5d)
= (6a² - b²)(c + 5d) ...... (answer)

4.(c)
4a²c² + a²d² + 4b²c² + b²d²
= (4a²c² + a²d²) + (4b²c² + b²d²)
= a²(4c² + d²) + b²(4c² + d²)
= (a² + b²)(4c² + d²) ...... (answer)

4.(d)
x^4 - x³y + xy^4 - y³x²
= (x^4 - y³x²) + (-x³y + xy^4)
= x²(x² - y³) - xy(x² - y³)
= (x² - xy)(x² - y³)
= x(x - y)(x² - y³) ...... (answer)


5.(a)
2x + 6 + x³ + 3x²
= (2x + 6) + (x³ + 3x²)
= 2(x + 3) + x²(x + 3)
= (2 + x²)(x + 3)
= (x + 2)(x + 3) ...... (answer)

5.(b)
2x³ + x² + 10x + 5
= (2x³ + x²) + (10x + 5)
= x²(2x + 1) + 5(2x + 1)
= (x² + 5)(2x + 1) ...... (answer)

5.(c)
12y + 20 - 9y³ - 15y²
= (12y + 20) + (-9y³ - 15y²)
= 4(3y + 5) - 3y²(3y + 5)
= (4 - 3y²)(3y + 5)
= (4 - 3y²)(5 + 3y) ...... (answer)

5.(d)
2y^5 - 6y³ + 8y^4 - 24y²
= (2y^5 - 6y³) + (8y^4 - 24y²)
= 2y³(y² - 3) + 8y²(y² - 3)
= (2y³ + 8y²)(y² - 3)
= 2y²(y + 4)(y² - 3) ...... (answer)