Объяснение:
а) (5а-3с)(5а+3с)-(7с-а)(7с+а)=
= 25а²-9с²-49с²+а²=26а²-58с²
б) (4b+10c)(10c-4b)+(-5c+2b)(5c+2b)=
= 40bc-16b²+100c²-40bc-25c²-10bc+10bc+4b²=
=100c²-16b²-25c²+4b²=75c²-12b²
в) (3x-4y)²-(3x-4y)(3x+4y)=
= 9x²-24xy+16y²-9x²+16y²=32y²-24xy
г) (2а+6b)(6b-2a)-(2a+6b)²=
= -4a²+36b²-4a²-24ab-36b²=-8a²-24ab
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Answers & Comments
Объяснение:
а) (5а-3с)(5а+3с)-(7с-а)(7с+а)=
= 25а²-9с²-49с²+а²=26а²-58с²
б) (4b+10c)(10c-4b)+(-5c+2b)(5c+2b)=
= 40bc-16b²+100c²-40bc-25c²-10bc+10bc+4b²=
=100c²-16b²-25c²+4b²=75c²-12b²
в) (3x-4y)²-(3x-4y)(3x+4y)=
= 9x²-24xy+16y²-9x²+16y²=32y²-24xy
г) (2а+6b)(6b-2a)-(2a+6b)²=
= -4a²+36b²-4a²-24ab-36b²=-8a²-24ab