Question

1) 2m - 2n + tm - tn 2) ab + ac - b -c: 3) ab + 13a + bt +13t: 4) cm - 3dm + cp - 3dp 5) xy + 8y - 2x - 16 6) 3p - 3k - 4ap + 4ak

Answer 1

Ответ:

Объяснение:

)2m - 2n + tm - tn= 2(m-n)+t(m-n)=(2+t)×(m-n)

2) ab + ac - b -c=a(b+c)-(b+c)=(a-1)(b+c)

3) ab + 13a + bt +13t=a(b+13)+t(b+13)=(a+t)(b+13)

4) cm - 3dm + cp - 3dp=cm+cp-3dm-3dp=(m+p)-3d(m+p)=(c-3d)(m+p)

5) xy + 8y - 2x - 16=xy-2x+8y-16= x(y-2)+8(y-2)=(x+8)(y-2)

6) 3p - 3k - 4ap + 4ak=3(p-k)-4a(p-k)=(3-4a)(p-k)

Answer 2

To simplify the given expressions, let's combine like terms where applicable:

1. 2m - 2n + tm - tn: Combine the terms with 'm' and the terms with 'n': (2m + tm) - (2n + tn) = (2 + t)m - (2 + t)n = (2 + t)(m - n)

2. ab + ac - b - c: Combine the terms with 'a' and the terms without 'a': (ab + ac) - (b + c) = a(b + c) - (b + c) = (a - 1)(b + c)

3. ab + 13a + bt + 13t: Combine the terms with 'a' and the terms with 't': (ab + 13a) + (bt + 13t) = a(b + 13) + t(b + 13) = (a + t)(b + 13)

4. cm - 3dm + cp - 3dp: Combine the terms with 'm' and the terms with 'p': (cm + cp) - (3dm + 3dp) = c(m + p) - 3d(m + p) = (c - 3d)(m + p)

5. xy + 8y - 2x - 16: Combine the terms with 'x' and the terms with 'y': (xy - 2x) + (8y - 16) = x(y - 2) + 8(y - 2) = (x + 8)(y - 2)

6. 3p - 3k - 4ap + 4ak: Combine the terms with 'p' and the terms with 'k': (3p - 4ap) + (-3k + 4ak) = p(3 - 4a) + k(-3 + 4a) = (3 - 4a)p + (-3 + 4a)k

These are the simplified forms of the given expressions.