Question

Номер 16,полностью!Срочно!

Answer 1

а)а²-4b²=(a-2b)(a+2b);
б)64a²-25b⁴=(8a-5b²)(8a+5b²);
в)4(a+b)²-9(a-b)²=4a²+8ab+4b²-9a²+18ab-9b²=-5a²+26ab-5b²=-5a²+10ab-5b²+16ab=
=-5(a²-2ab+b²)+16ab=-5(a-b)²+16ab;
г)(1+a)²+(1-a²)=1+2a+a²+1-a²=2+2a=2(1+a);
д)(a+5)²-b²=a²+10a+25-b²=a(a+10)+(5-b)(5+b);
е)(a-b)²-(a+b)²=a²-2ab+b²-a²-2ab-b²=-4ab;
ж)x²+2xy-1+y²=(x+y)²-1=(x+y-1)(x+y+1);
з)(a-b)²+a²-b²=a²-2ab+b²+a²-b²=2a²-2ab=2a(a-b);
и)a²+2ab-3b²=a²+2ab+b²-4b²=(a+b)²-4b²=(a+b+2b)(a+b-2b)=(a+3b)(a-b);
к)(x+y)³-x³-y³=x³+3x²y+3xy²+y³-x³-y³=3x²y+3xy²=3xy(x+y)