Question

А) 6а^2-54x^2 б) 81-64c^2 в) 3x^2+6xy+3y^2 г) 5p^2-10p+5 д) (a^2-1)^2-9a^2 e) (x^2-4xy+4y^2)-4 ж) a^6-b^6 з) x^3+x^3y+3xy+3y^3 и) 8m^2+16m+8 к) 36 -(x+4)^2 л) b-a-a^2 + b^2 м) a^4-a^3+a-1 Срочно!!

Answer 1

а) 6а²-54x²=6*(а-3х)(а+3х)

б) 81-64c²=(9-8с)(9+8с)

в) 3x²+6xy+3y²=3*(х+у)²

г) 5p²-10p+5=5*(р-1)²

д) (a²-1)²-9a²=(a²-1-3a)(a²-1+3a)

(а-(3+√13)/2)(а-(3-√13)/2)(а-(-3+√13)/2)(а-(-3-√13)/2)

e) (x²-4xy+4y²)-4=(х-2у-2)(х-2у+2)

ж) a⁶-b⁶=(a³)²-(b³)²=(a³-b³)(a³+b³)=(a-b)(а²+аb+b²)*(а+b)(а²-аb+b²)

и) 8m²+16m+8=8*(m+1)²

к) 36 -(x+4)²=(6-х-4)(6+х+4)=(2-х)*(10+х)

л) b-a-a² + b²=(b-а)+(b²-а²)=(b-а)(1+b+а)

м) a⁴-a³+a-1=а³(а-1)+(а-1)=(а-1)(а³+1)=(а-1)(а+1)(а²-а+1)

Answer 2

А) 6а^2 - 54x^2 This expression cannot be simplified further unless we have additional information or context.

б) 81 - 64c^2 This is a difference of squares. It can be factored as (9 - 8c)(9 + 8c).

в) 3x^2 + 6xy + 3y^2 This expression can be factored as 3(x + y)^2.

г) 5p^2 - 10p + 5 This expression cannot be factored further unless we have additional information or context.

д) (a^2 - 1)^2 - 9a^2 This expression can be simplified as (a^4 - 2a^2 + 1) - 9a^2, which further simplifies to a^4 - 11a^2 + 1.

e) (x^2 - 4xy + 4y^2) - 4 This expression can be simplified as x^2 - 4xy + 4y^2 - 4.

ж) a^6 - b^6 This is a difference of cubes. It can be factored as (a^2 - b^2)(a^4 + a^2b^2 + b^4).

з) x^3 + x^3y + 3xy + 3y^3 This expression cannot be simplified further unless we have additional information or context.

и) 8m^2 + 16m + 8 This expression can be factored as 8(m^2 + 2m + 1), which further simplifies to 8(m + 1)^2.

к) 36 - (x + 4)^2 This expression can be simplified as 36 - (x^2 + 8x + 16), which further simplifies to -x^2 - 8x + 20.

л) b - a - a^2 + b^2 This expression cannot be simplified further unless we have additional information or context.

м) a^4 - a^3 + a - 1 This expression cannot be simplified further unless we have additional information or context.

I hope this helps! If you have any further questions, please let me know.