Sagot :
Explications étape par étape:
- A=x²+8x+16
=x²+2(x)(4)+4²
A=(x+4)²
- B=x²-12x+36
=x²-2(x)(6)+6²
B=(x-6)²
- C=25x²-10x+1
=(5x)²-2(5)(1)+1²
C=(5x-1)²
- D=16x²-49
= (4x)²-7²
D=(4x+7)(4x-7)
- E=24x+9x²+16
=9x²+24x+16
= (3x)²+2(3x)(4)+4²
E=(3x+4)²
- F=81-x²
= 9²-x²
F=(9+x)(9-x)
- G=64x²+16-64x
=(8x)²+4²-2(8x)(4)
G=(8x-4)²
- H=4x²-7
[tex]h = ( \sqrt{4} x)^{2} - \sqrt{7} ^{2} = ( \sqrt{4} x + \sqrt{7} )( \sqrt{4} x - \sqrt{7} )[/tex]
- I= x²+x+1/4
= x²+2(x)(1/2)+(1/2)²
I= (x+1/2)²
- J=2x-144
=
[tex] \sqrt{2x} ^{2} - 12^{2} = ( \sqrt{2x} - 12)( \sqrt{2x} + 12)[/tex]