1) x²+18x+81
2) 9a²-48ab+64b²
3) m²-49
4) 100b²-36a²
1) (c-1)(c+1)
2) (x-2)(x-2)
3) (5y-2)(5y+2)
4) (6a-5b)(6a-5b)
3. =(x²-9)-(x-4)²= x²-9-x²+8x-16= 8x-25
4. 5x²+9x-2+3x²-48=8x²+24x+18-8
9x-24x=10+50
-15x=60
x= -4
Ответ:
№1
1.(х+9)^2=x^2+18x+81
2.(3a-8b)^2=9a^2-48ab+64b^2
3.(m-7)(m+7)=m^2-49
4.(6a+10b)(10b-6a)=100b^2-36a^2
№2
1.c^2-1=(c-1)(c+1)
2.x^2-4x+4=(x-2)^2
3.25y^2-4=25y^2-2^2=(5y-2)(5y+2)
4.36a^2-60ab+25b^2=(6a-5b)^2
№3
(x+3)(x-3)-(x-4)^2=x^2-9-x^2+8x-16=-25+8x
№4
(5x-1)(x+2)+3(x-4)(x+4)=2(2x+3)^2-8
5x^2+10x-x-2+3x^2-48=8x^2+24x+18-8
9x-50=24x+10
x=-4
Ответ:x=-4
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Answers & Comments
1) x²+18x+81
2) 9a²-48ab+64b²
3) m²-49
4) 100b²-36a²
1) (c-1)(c+1)
2) (x-2)(x-2)
3) (5y-2)(5y+2)
4) (6a-5b)(6a-5b)
3. =(x²-9)-(x-4)²= x²-9-x²+8x-16= 8x-25
4. 5x²+9x-2+3x²-48=8x²+24x+18-8
9x-24x=10+50
-15x=60
x= -4
Ответ:
№1
1.(х+9)^2=x^2+18x+81
2.(3a-8b)^2=9a^2-48ab+64b^2
3.(m-7)(m+7)=m^2-49
4.(6a+10b)(10b-6a)=100b^2-36a^2
№2
1.c^2-1=(c-1)(c+1)
2.x^2-4x+4=(x-2)^2
3.25y^2-4=25y^2-2^2=(5y-2)(5y+2)
4.36a^2-60ab+25b^2=(6a-5b)^2
№3
(x+3)(x-3)-(x-4)^2=x^2-9-x^2+8x-16=-25+8x
№4
(5x-1)(x+2)+3(x-4)(x+4)=2(2x+3)^2-8
5x^2+10x-x-2+3x^2-48=8x^2+24x+18-8
9x-50=24x+10
9x-24x=10+50
-15x=60
x=-4
Ответ:x=-4