(x+y)²-16(x-y)²因式分解

(x+y)²-16(x-y)²因式分解
(x+y)²-16(x-y)²因式分解

(x+y)²-16(x-y)²因式分解
=(x+y)²-[4(x-y)]²
=(x+y+4x-4y)(x+y-4x+4y)
=(5x-3y)(5y-3x)

(x+y)^2-16(x-y)^2
= -15x^2-15y^2 +34xy
=-(15x^2-34xy +15y^2)
=-(3x-5y)(5x-3y)

1）y²-y（x+y）² =y[√y+(x+y)][√y-(x+y)]
=y(x+y+√)(√y-x-y)
2）（x+y）²-16（x-y）² =[（x+y）+4（x-y）][（x+y）-4（x-y）]
=(5x-3y)(5y-3x)
3）（x+y）²-14（x+y）+49
=[（x+y）+7 ]...

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1）y²-y（x+y）² =y[√y+(x+y)][√y-(x+y)]
=y(x+y+√)(√y-x-y)
2）（x+y）²-16（x-y）² =[（x+y）+4（x-y）][（x+y）-4（x-y）]
=(5x-3y)(5y-3x)
3）（x+y）²-14（x+y）+49
=[（x+y）+7 ]²
=(x+y+7)²
4）16-（29+3b）² =[4+（29+3b][4-（29+3b]
=-3(11+b)(25-3b)
5）x²-Xy+4/1y²=(x-1/2*y)²=(2x-y)²/4
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= -15 x^2 + 34 x y - 15 y^2
= -(3 x - 5 y) (5 x - 3 y)

(x+y)²-16(x-y)²
＝(x+y)²-[4(x-y)]²
＝[x+y+4(x-y)][x+y-4(x-y)]
＝(5x-3y)(5y-3x).

(x+y)²-16(x-y)²=[(x+y)+4(x-y)][(x+y)-4(x-y)]=[x+y+4x-4y][x+y-4x+4y]=(5x-3y)(5y-3x)