Представь в виде степени с основанием х выражение (x^6)^2

1. 1) $(x^6)^2 = x^{6*2} = x^{12}$ 2) $(-x^5) = -x^5$ 3) $x*x^3 = x^{1+3} = x^4$ 4) $((x^3)^2)^5 = (x^{3*2})^5 = (x^6)^5 = x^{6*5} = x^{30}$ 5) $(x^{10})^2 * (x^5)^4 = x^{10*2} * x^{5*4} = x^{20} * x^{20} = x^{20+20} = x^{40}$ 6) $(-x^8)^7 * (-x^3)^3 : x^{15} = (-x^{8*7})*(-x^{3*3}) : x^{15} = (-x^{56}) * (-x^9) : x^{15} = x^{56+9} : x^{15} = x^{65} : x^{15} = x^{65-15} = x^{50}$ 2. 1) $(x-2)(x-11) - 2x(4-3x) = x^2 - 11x - 2x + 22 - 8x + 6x^2 = 7x^2 - 21x + 22$ 2) $(a+6)(a-3) + (a-4)(a+5) = a^2 - 3a + 6a - 18 + a^2 + 5a - 4a - 20 = 2a^2 + 4a - 38$ 3) $(y-8)(2y-1) - (8y+1)(5y-2) = 2y^2 - y - 16y + 8 - (40y^2 - 16y + 5y - 2) = 2y^2 - 17y + 8 - 40y^2 + 11y + 2 = -38y^2 - 6y + 10$ 4) $(x+2)^2 - (x-3)(x+3) = x^2 + 4x + 4 - (x^2 - 9) = x^2 + 4x + 4 - x^2 + 9 = 4x + 13$ 5) $(7a-5b)(7a+5b) - (4a+7b)^2 = 49a^2 - 25b^2 - (16a^2 + 56ab + 49b^2) = 49a^2 - 25b^2 - 16a^2 - 56ab - 49b^2 = 33a^2 - 56ab - 74b^2$ 6) $(y-2)(y+3) - (y-1)^2 + (5-y)(y+5) = y^2 + 3y - 2y - 6 - (y^2 - 2y + 1) + (25 - y^2) = y^2 + y - 6 - y^2 + 2y - 1 + 25 - y^2 = -y^2 + 3y + 18$ 3. 1) $8a - 12b = 4(2a - 3b)$ 2) $3a - ab = a(3 - b)$ 3) $6ax + 6ay = 6a(x + y)$ 4) $4a^2 + 8ac = 4a(a + 2c)$ 5) $a^6 + a^2 = a^2(a^4 + 1)$ 6) $12x^2y - 3xy = 3xy(4x - 1)$ 7) $21a^2b + 28ab^2 = 7ab(3a + 4b)$ 8) $-3x^6 + 12x^{12} = -3x^6(1 - 4x^6)$ 9) $4a^2 - 8a^3 + 12a^4 = 4a^2(1 - 2a + 3a^2)$ 10) $6m^3n^2 + 9m^2n - 18mn^2 = 3mn(2m^2n + 3m - 6n)$ 4. 1) $5a + 5b - am - bm = 5(a + b) - m(a + b) = (5 - m)(a + b)$ 2) $6m - mn - 6 + n = m(6 - n) + n - 6 = m(6 - n) - (6 - n) = (m - 1)(6 - n)$ 3) $a^6 + a^4 - 3a^2 - 3 = a^4(a^2 + 1) - 3(a^2 + 1) = (a^4 - 3)(a^2 + 1)$ 4) $10a^2b - 2a^2 + 5ab^2 - ab = 2a^2(5b - 1) + ab(5b - 1) = (2a^2 + ab)(5b - 1) = a(2a + b)(5b - 1)$ 5) $2x^3 - 3x^2y - 4x + 6y = x^2(2x - 3y) - 2(2x - 3y) = (x^2 - 2)(2x - 3y)$ 6) $x^2y - x + xy^2 - y = x(xy - 1) + y(xy - 1) = (x + y)(xy - 1)$ 5. 1) $a^2 + 8a + 16 = (a + 4)^2$ 2) $9x^2 - 6x + 1 = (3x - 1)^2$ 3) $121m^2 - 88mn + 16n^2 = (11m - 4n)^2$ 4) $24ab + 36a^2 + 4b^2 = (6a + 2b)^2$ 5) $a^6 - 4a^3b + 4b^2 = (a^3 - 2b)^2$ 6) $25p^{10} + q^8 + 10p^5q^4 = (5p^5 + q^4)^2$ 6. 1) $1 - x^2 = (1 - x)(1 + x)$