263

ա) (a+1)²-2(a+1)+1=a²+2a+1-2a-2+1=a²

բ) (m-n)²+2n(m-n)+n²=m²-2mn-2n²+n²=m²

գ) (p-q)²-2(p²-q²)+(p+q)²=p²-2pq+q²-2p²+2q²+p²+2pq+q²=4q²

դ) (x+2y)²+2(x²-4y²)+(2y-x)²=x²+2xy+4y²+2x²-8y²+4y²-4yx+x²=4x²-4xy

266

ա)(1+x)(1-x)(1+x²)=(1-x²)(1+x²)=1-x⁴

բ)(a-1)(1+a)(a²+1)=(a²-1)(a²+1)=a⁴-1

գ)(m+n)(n-m)(m²+n²)=(n²-m²)(m²+n²)=n⁴-m⁴

դ)(3-p)(p²+g)(p+3)=(9-p²)(p²+g)=81-p⁴

ե) (x+2)(4-x²)(x-2)=(x²-4)(4-x²)

զ) (p+q)²(p-q)²=(p²-q²)

է) (a-b)(a-b)(a+b)(a+b=(a-b)²(a+b)²=(a²-b²)⁴

ը) (5+m)(m-5)(m-5)(m+5)=(m²-25)(m²-25)=(m²-25)²