Proszę o zrobienie zadań 15,16,17,18,19,20
Zadania w załączniku,
Dziękuję
zad 15
a)ax2 + ay2 + bx2 +by2 = a(x2+y2) + b(x2+y2) = (a+b)( x2+y2)
b)ax-ay-bx+by = a(x - y) - b(x - y) = (x - y)(a - b)
c) 6ax + 4ay + 15bx +10by = 2a(3x+2y) + 5b(3x + 2y) = (2a + 5b)(3x+2y)
d)ax + ay + x + y = a(x+y) + 1(x+y) = (a+1)(x+y)
e)2ax+xb-2a-b = x(2a + b) - (2a + b) = (2a +b)(x - 1)
f)ax-ay-bx+by = a(x-y) –b(x-y) = (a-b)(x-y)
zad 16
a)14ab -21ac+18b2-27bc = 7a(2b-3c) + 9b(2b-3c) = (7a+9b)(2b-3c)
b)20bc – 24b2 + 35ac -42ab=4b(5c-6b) +7a(5c-6b) = (4b+7a)(5c-6c)
c)5x+5y+10xy+10x2 = 5(x+y) + 2x(y+x) = (5+2x)(x+y)
d)1+a+a2+a3+a4+a5 = 1(1+a) + a2(1+a) + a4(1+a) = (1+ a2 + a4)(1+a)
zad 17
a)(x+3)*x-2(x+3)=(x+3)(x-2)
b)x*(x-2)-3(x-2)=(x-2)(x-3)
c)x(x-3)-(x-3)*2=(x-3)(x-2)
d)(x-2)x+(x-2)*3=(x-2)(x+3)
e)x²+3x-2x-6=x²+3x-2(x+3)=x(x+3)-2(x+3)=(x-2)(x+3)
f)x²-2x+2x+6=x²-2x+2x+6=x(x-2)+2(x+3)
g)x²-3x-2x+6=x(x-3)-2(x-3)=(x-3)(x-2)
h)x²+4x+3x-8=x²-3x+4x-8=x(x-3)+4(x-2)
zad 20
( a + b ) ² = a ² + 2 ab + b ²( a - b ) ² = a ² - 2 ab + b ²2 ab - x = - 2abx = 4 ab
zadania 18 i 19 nie umiem
ale mam nadzieje ze tyle moze byc i licze na naj!!
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zad 15
a)ax2 + ay2 + bx2 +by2 = a(x2+y2) + b(x2+y2) = (a+b)( x2+y2)
b)ax-ay-bx+by = a(x - y) - b(x - y) = (x - y)(a - b)
c) 6ax + 4ay + 15bx +10by = 2a(3x+2y) + 5b(3x + 2y) = (2a + 5b)(3x+2y)
d)ax + ay + x + y = a(x+y) + 1(x+y) = (a+1)(x+y)
e)2ax+xb-2a-b = x(2a + b) - (2a + b) = (2a +b)(x - 1)
f)ax-ay-bx+by = a(x-y) –b(x-y) = (a-b)(x-y)
zad 16
a)14ab -21ac+18b2-27bc = 7a(2b-3c) + 9b(2b-3c) = (7a+9b)(2b-3c)
b)20bc – 24b2 + 35ac -42ab=4b(5c-6b) +7a(5c-6b) = (4b+7a)(5c-6c)
c)5x+5y+10xy+10x2 = 5(x+y) + 2x(y+x) = (5+2x)(x+y)
d)1+a+a2+a3+a4+a5 = 1(1+a) + a2(1+a) + a4(1+a) = (1+ a2 + a4)(1+a)
zad 17
a)(x+3)*x-2(x+3)=(x+3)(x-2)
b)x*(x-2)-3(x-2)=(x-2)(x-3)
c)x(x-3)-(x-3)*2=(x-3)(x-2)
d)(x-2)x+(x-2)*3=(x-2)(x+3)
e)x²+3x-2x-6=x²+3x-2(x+3)=x(x+3)-2(x+3)=(x-2)(x+3)
f)x²-2x+2x+6=x²-2x+2x+6=x(x-2)+2(x+3)
g)x²-3x-2x+6=x(x-3)-2(x-3)=(x-3)(x-2)
h)x²+4x+3x-8=x²-3x+4x-8=x(x-3)+4(x-2)
zad 20
( a + b ) ² = a ² + 2 ab + b ²
( a - b ) ² = a ² - 2 ab + b ²
2 ab - x = - 2ab
x = 4 ab
zadania 18 i 19 nie umiem
ale mam nadzieje ze tyle moze byc i licze na naj!!