f.2簡單factorization~~~

1.
25x^2 + 30xy + 9y^2
= (5x)^2 + 2(5x)(3y) + (3y)^2
= (5x + 3y)^2

2.
5a^2 + 30ab + 45b^2
= 5 (a^2 + 6 ab + 9b^2 )
= 5 [a^2 + 2(a)(3b) + (3b)^2]
= 5 (a + 3b)^2

3.
4c^2 - 6dx +3cd - 8cx
= (4c)(c) - (2x)(3d) + (c)(3d) - (4c)(2x)
= 4c (c - 2x) + 3d (c - 2x)
= (4c + 3d)(c - 2x)

4.
4x^3 - 3y +4x - 3x^2y
= 4x (x^2) - 3y + 4x - 3y (x^2)
= 4x (x^2 + 1) - 3y (x^2 + 1)
= (4x - 3y)(x^2 + 1)

5.
16x^2+16x +4
= 4 (4x^2 + 4x + 1)
= 4 [(2x)^2 + (2)(2x)(1) + 1^2]
= 4 (2x + 1)^2
= 2^2 (2x+1)^2
= [2 (2x + 1)]^2

1.25x^2+30xy+9y^2
=(5x - 3y)^2


2.5a^2+30ab+45b62
=5(a^2+6ab+9b^2)
=5(a+b)^2

3.4c^2-6dx+3cd-8cx
= 4c(c -2x) + 3d(c - 2x)
= (4c + 3d) (c - 2x)

4.4x^3-3y+4x-3x^2y
= 4x(x^2 + 1) - 3y(1 + x^2)
= (4x - 3y) (x^2 + 1)


5.16x^2+16x+4
=(4x + 2)^2

1.
25x^2 + 30xy + 9y^2
= (5x - 3y)^2

2.
5a^2 + 30ab + 45b^2
= [(√5)a + (3√5)b]^2

3.
4c^2 - 6dx + 3cd - 8cx
= 4c(c -2x) + 3d(c - 2x)
= (4c + 3d) (c - 2x)

4.
4x^3 - 3y + 4x - 3x^2y
= 4x(x^2 + 1) - 3y(1 + x^2)
= (4x - 3y) (x^2 + 1)

5.
16x^2 + 16x + 4
= (4x + 2)^2