Question

2. РОЗКЛАДИ на множники даю 100 балов​

Answer 1

$100x^2-36y^2=\\\\(10x)^2-(6y)^2=\\\\(10x-6y)(10x+6y)=\\\\2(5x-3y)\codt 2(5x+3y)=\\\\ \underline{4(5x-3y)(5x+3y)}$

$-m^2+4n^2=\\\\(2n)^2-m^2=\\\\\underline{(2n-m)(2n+m)}$

$(9a-4b)^2-25a^2=\\\\(9a-4b)^2-(5a)^2=\\\\(9a-4b-5a)(9a-4b+5a)=\\\\(4a-4b)(14a-4b)=\\\\4(a-b)\cdot 2(7a-2b)=\\\\\underline{8(a-b)(7a-2b)}$

$(3x-1)^2-(8x+5)^2=\\\\(3x-1-8x-5)(3x-1+8x+5)=\\\\(-5x-6)(11x+4)=\\\\\underline {-(5x+6)(11x+4)}$

$(2a+b-6)^2-(2a-b-8)^2=\\\\(2a+b-6-2a+b+8)(2a+b-6+2a-b-8)=\\\\(2b+2)(4a-14)=\\\\2(b+1)\cdot 2(2a-7)=\\\\\underline{4(2a-7)(b+1)}$

$m^{10}n^4-a^8b^{14}=\\\\(m^5n^2)^2-(a^4b^7)^2=\\\\\underline{ (m^5n^2-a^4b^7)(m^5n^2+a^4b^7)}$