Объяснение:
1.
1)(a-3b)(a+3b)=a²-9b²
2)m²+2mn+n²=(m+n)²
3)
a)(3m²+5n²)²=9m^4+30m²n²+25m^4
4)(5a-2)²-4=25a²-20a+4-4=25a²+20a
5)(a²-3)³-(a-2)(a²+4)(a+2)=(a²)³-3(a²)²*3+3a²*9-(3)³-(a²-4)(a²+4)=
=a^6-9a^4+27a²-(a^4-16)=a^6-9a^4+27a²-a^4+16=a^6-10^4+27a²+16
2.
a)(a-8b)(a+8b)=a²-64b²
2)m²-2mn+n²=(m-n)²
a)(4a²-5b²)²=16a^4-40a²b²+25b^4
b)(6a-4b)³=(6a)³-3*(6a)²*4b+3*6a(4b)²-(4b)³=216a³-432a²b+324ab²-64b³
4)(x+5)²-16=(x+5)²-4²=(x+5-4)(x+5+4)=(x+1)(x+9)
Объяснение:
1.
1)(a-3b)(a+3b)=a²-9b²
2)m²+2mn+n²=(m+n)²
3)
a)(3m²+5n²)²=9m^4+30m²n²+25m^4
4)(5a-2)²-4=25a²-20a+4-4=25a²+20a
5)(a²-3)³-(a-2)(a²+4)(a+2)=(a²)³-3(a²)²*3+3a²*9-(3)³-(a²-4)(a²+4)=
=a^6-9a^4+27a²-(a^4-16)=a^6-9a^4+27a²-a^4+16=a^6-10^4+27a²+16
2.
a)(a-8b)(a+8b)=a²-64b²
2)m²-2mn+n²=(m-n)²
3)
a)(4a²-5b²)²=16a^4-40a²b²+25b^4
b)(6a-4b)³=(6a)³-3*(6a)²*4b+3*6a(4b)²-(4b)³=216a³-432a²b+324ab²-64b³
4)(x+5)²-16=(x+5)²-4²=(x+5-4)(x+5+4)=(x+1)(x+9)