Question

Can anyone please tell the answers...​

Answer 1

Answer:

Step-by-step explanation:

1) x² + 7x + 12= x² + 3x +4x +12 = x(x +3) + 4(x + 3)=(x+3) (x +4)

2) x²+9x+20 =x²+4x+5x +20=x(x +4)+5 (x +4)=(x +4) ( x +5)

3) p²- 2p-15= p²-5p+3p-15 = p(p-5) + 3 (p- 5) = (p+3) (p-5)

4) x²-18x +65 = x²-5x -13x +65 = x(x -5) -113 (x -5) = (x -5) (x -13)

5) x²+25x -54 = x²+ 27x -2x - 54 = x( x + 27) - 2 ( x +27) = ( x +27) ( x -2)

6) a²-11a-80 = a²- 16a+5a-80 = a( a-16) +5 (a -16) = ( a+5) ( a -16)

7) x² -19x-92 = x²- 23x+ 4x -92 = x( x - 23) + 4 (x -23 ) = ( x +4) ( x -23)

8)p²-11p-102 = p²-17p+6p-102 =p ( p- 17) +6 (p- 17) = ( p+6) ( p- 17)

9)x²+9x -36 = x²+12x-3x - 36 = x (x +12) -3 (x +12) = (x +12) ( x -3)

10) x²-8x -33 = x²- 11x+3x-33 = x(x -11) +3 (x -11) = (x +3) (x -11)

11) m²-26m+120 = m²-20m- 6m+120 = m(m-20) -6 (m-20) =( m-6) (m-20)

12)3x²+10x +8 = 3x²+6x +4x+8 = 3x (x+2)+4 (x+2) = (x +2) (x +4)

13) 3x²+14x +8 = 3x²+12x +2x+8 = 3x(x+4) +2 (x +4) = (3x+2) (x +4)

14) 35-33x+4x² = 4x²-33x +35=4x²-28x -5x +35=4x(x -7)-5 (x -7) = (4x -5)(x -7)

15) 5+34x-7x²= -7x²+34x +5= 7x²-34x -5 = 7x²-35x +x -5=7x(x-5) +1(x-5) =(7x +1) (x -5)

16) 12x²-29x +15 = 12x²- 9x-20x +15 = 3x( 4x-3) -5 ( 4x -3) = (3x -5) (4x -3)

17) 7x²+35x +42 = 7x²+21x +14x+42 = 7x( x+ 3) +14 (x +3) = ( 7x +14) ( x +3)

18) 4x²-8x +3 = 4x²- 2x -6x +3 = 2x(2x- 1) -3 ( 2x- 1) = (2x -1) (2x-3)

19) x² +10xy+21y² =

20) a²- ab -20b² =