Question

Поможете разложить на множители

Answer 1

$64x^2-48x-25y^2-30y=(8x-5y)(8x+5y)-6(8x+5y)=(8x+5y)(8x-5y-6)$

$18a^2+24a+8-200b^2=2(9a^2+12a+4-100b^2)=2((3a+2)^2-100b^2)=2(3a+2-10b)(3a+2+10b)$

$x^4+8x^2+15=x^4+8x^2+16-1=(x^2+4)^2-1=(x^3+4+1)(x^2+4-1)=(x^3+5)(x^2+3)$

$a^2+4ab+3b^2=a^2+4ab+4b^2-b^2=(a+2b)-b^2=(a+2b-b)(a+2b+b)=(a+b)(a+3b)$

$126x^3+3x^2+3x+1=125x^3+x^3+3x^2+3x+1=125x^3+(x+1)^3=(5x+x+1)(25x^2-5x(x+1)+(x+1)^2)=(6x+1)(25x^2-5x^2-5x+x^2+2x+1)=(6x+1)(21x^2-3x+1)$