4x²-28x+49= 4x²-14x+14x+49= 2x(2x-7)-7(2x-7)=(2x-7)(2x-7=(2x-7)²
49x²-14x+1= 49x²-7x-7x+1= 7x(7x-1)-(7x-1)= (7x-1)²
3x²+2√3x+1= 3x²+√3x+√3x +1= √3x(√3x+1)+(√3x+1)= (√3x+1)²
2-2√2x+x²=( √2-x)²
5-2√5x+x²= (√5 -x)²
1/4x²+3x+9= (1/2x+3)²
x²+2/3x+1/9= (x+1/3)²
3x²+2√6x+2= (√3x+√2)²
5 -2√15x+3x²= (√5+√3x)²
4x²-9=(2x-3)(2x+3)
16x²-25=(4x-5)(4x+5)
81x²-49y²= (9x-7y)(9x+7y)
2x²-1= (√2x-1) (√2x+1)
5x²-1= (√5x-1) (√5x+1)
3x²-5= (√3x-√5) (√3x+√5)
1/9x²-4= (1/3x-2)(1/3x-2)
9/25- 2x²=(3/5-√2x)(3/5+√2x)
(x²+2x+1)+3x(x+1)=(x+1)²+3x(x+1)=(x+1)(x+1+3x)=(x+1)(4x+1)
ax+bx+ay+by= x(a+b)+y(a+b)= (a+b)(x+y)
(4x+1)² - (2x+3)²= (4x+1-2x-3)(4x+1+ 2x+3)=(2x-2)(6x+4)
16(x+2)²-25= [4(x+2) -5]×[4(x+2)+5]=(4x+3)(4x+13)
(x²+4x+4)-(x²-4x+4)=(x+2)² - (x-2)²= (x+2+x-2)(x+2-x+2)= 8x
x³+x²-4x-4= x²(x+1)-4(x+1)=(x+1)(x²-4)=(x+1)(x-2)(x+2)
x²+4x-5= x²+5x -x-5=x(x+5) -(x+5)= (x+5)(x-1)
x²-4x-12=x²- 6x+2x-12= x(x-6)+2(x-6)=(x-6)(x+2)
x²+13x+42= x²+6x+7x+42=x(x+6)+7(x+6)= (x+6)(x+7)
