1) =x^2-a^2
2) =4p^2-9n^2
3)=a^2+b^2+2ab-a^2-b^2=2ab
4)x^2-1-x^2+3x=3x-1
1)a^3-4a=a(a^2-4)=a(a-2)(a+2)
2)ax^2-ay^2=a(x^2-y^2)=a(x-y)(x+y)
3)3a^2-6ab+3b^2=a^2-2ab+b^2=(a-b)^2
4) ax^2+2ax+a=a(x^2+2x+1)=a(x+1)^2
(x-a)(x+a)=х²-a²
2)(2p-3n)(2p+3n)=4p²-9n²
3)(a+b)^2-(a-b)(a+b)=a²+2ab+b²-a²+b²=2b²+2ab=2b(b+a)
4)(x-1)(x+1)-x(x-3)=x²-1-x²+3=2
a³-4a=a(a²-4)=a(a-2)(a+2)
2)ax²-ay²=a(x²-y²)=a(x-y)(x+y)
3)3a²-6ab+3b²=3(a²-2ab+b²)=3(a-b)²
4)ax²+2ax+a=a(x²+2x+1)=a(x+1)²
1) =x^2-a^2
2) =4p^2-9n^2
3)=a^2+b^2+2ab-a^2-b^2=2ab
4)x^2-1-x^2+3x=3x-1
1)a^3-4a=a(a^2-4)=a(a-2)(a+2)
2)ax^2-ay^2=a(x^2-y^2)=a(x-y)(x+y)
3)3a^2-6ab+3b^2=a^2-2ab+b^2=(a-b)^2
4) ax^2+2ax+a=a(x^2+2x+1)=a(x+1)^2
(x-a)(x+a)=х²-a²
2)(2p-3n)(2p+3n)=4p²-9n²
3)(a+b)^2-(a-b)(a+b)=a²+2ab+b²-a²+b²=2b²+2ab=2b(b+a)
4)(x-1)(x+1)-x(x-3)=x²-1-x²+3=2
a³-4a=a(a²-4)=a(a-2)(a+2)
2)ax²-ay²=a(x²-y²)=a(x-y)(x+y)
3)3a²-6ab+3b²=3(a²-2ab+b²)=3(a-b)²
4)ax²+2ax+a=a(x²+2x+1)=a(x+1)²