Question

15.721) 4b(7 -8a) + a(8a – 7) – (14 – 16а) + (7 – 8а)ab; 2) 3x(бу – 4) - y(4 – 5y) + (15y – 12) - 3xу(4 - 5у); 3) mn(m – 3n) – m(m – 3n) – n(m - 3n) + 8(6n – 2m); 4) (-3t + k)x - (k - 3 t)y + (3k - 2t)xy - (-2t + 3k). ​

Answer 1

Let's simplify the given expressions:

1) 4b(7 - 8a) + a(8a - 7) - (14 - 16a) + (7 - 8a)ab:
= 28b - 32ab^2 + 8a^2 - 7a - 14 + 16a + 7ab - 8ab^2
= -32ab^2 - 8ab^2 + 7ab + 8a^2 - 7a + 16a + 28b - 14
= (-40ab^2 + 31ab + 24a + 28b - 14).

2) 3x(bu - 4) - y(4 - 5y) + (15y - 12) - 3xy(4 - 5y):
= 3xbu - 12x - 4y + 5y^2 + 15y - 12 - 12xy + 15xy^2
= 3xbu - 4y + 5y^2 + 15y + 5xy^2 - 12x + 15xy^2 - 12
= (3xbu - 12x + 15xy^2 - 4y + 5xy^2 + 15y - 12).

3) mn(m - 3n) - m(m - 3n) - n(m - 3n) + 8(6n - 2m):
= mn^2 - 3mn^2 - m^2 + 3mn - mn + 3n^2 - 8m + 16n
= (mn^2 - 3mn^2 - m^2 + 3mn - mn + 3n^2 - 8m + 16n).

4) (-3t + k)x - (k - 3t)y + (3k - 2t)xy - (-2t + 3k):
= -3tx + kx - ky + 3ty + 3kxy - 2txy + 2ty - 3k
= (-3tx - 2txy + 3ty + kx - ky + 2ty - 3k).