1) (х+2)²-49=х²+4х+4-49=х²+4х-45
2)(х-10)²-25у²=х²-20х+100-25у²
3)25-(у-3)²=25-(у²-6у+9)=25-у²+6у-9=-у²+6у+16
4)(а-4)²-(а+2)²=а²-8а+16-(а²+4а+4)=а²-8а+16-а²-4а-4=-12а+12
5)(m-10)²-(n-6)²=m²-20m+100-(n²-12n+36)=m²-20m+100-n²+12n-36=m²-20m+64-n²+12n
1)(3x-5)²-49=0
(3x-5)²-7²=0
(3x-5-7)(3x-5+7)=0
(3x-12)(3x+2)=0
3x-12=0 3x+2=0
3x=12 3x=-2
x=4 x=-(2/3)
2)(4x+7)²-9x²=0
(4x+7)²-3²x²=0
(4x+7-3x)(4x+7+3x)=0
(x+7)(7x+7)=0
x+7=0 7x+7=0
x=-7 7x=-7
x=-1
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Answers & Comments
1) (х+2)²-49=х²+4х+4-49=х²+4х-45
2)(х-10)²-25у²=х²-20х+100-25у²
3)25-(у-3)²=25-(у²-6у+9)=25-у²+6у-9=-у²+6у+16
4)(а-4)²-(а+2)²=а²-8а+16-(а²+4а+4)=а²-8а+16-а²-4а-4=-12а+12
5)(m-10)²-(n-6)²=m²-20m+100-(n²-12n+36)=m²-20m+100-n²+12n-36=m²-20m+64-n²+12n
1)(3x-5)²-49=0
(3x-5)²-7²=0
(3x-5-7)(3x-5+7)=0
(3x-12)(3x+2)=0
3x-12=0 3x+2=0
3x=12 3x=-2
x=4 x=-(2/3)
2)(4x+7)²-9x²=0
(4x+7)²-3²x²=0
(4x+7-3x)(4x+7+3x)=0
(x+7)(7x+7)=0
x+7=0 7x+7=0
x=-7 7x=-7
x=-1