Question

Раскройте скобки.a) 2(x-7y+3z)б) -7(5-a-4b)в) (c-8d+6b)•(-1,2)г) -0,6x•(-5+3m-1,4n)д) -p•(-x+2y-4,6)e) -8•(3,4a+1,2b-5,16c-2,3)

Answer 1

А) 2 * (х - 7у + 3z) = 2x - 14y + 6z

б) - 7 * (5 - a - 4b) = - 35 + 7a + 28b

в) (c - 8d + 6b) * (- 1,2) = - 1,2c + 9,6d - 7,2b

г) - 0,6x * (- 5 + 3m -1,4n) = 3x - 1,8xm + 0,84xn

д) - p * (- x + 2y - 4,6) = px - 2yp + 4.6p

е) - 8 * (3,4a +1,2b - 5,16c - 2,3) = - 27,2a - 9,6b + 41,28c + 18,4

Answer 2

a) 2(x - 7y + 3z)

To expand the expression 2(x - 7y + 3z), we distribute the 2 to each term inside the parentheses:

2 * x - 2 * 7y + 2 * 3z

This simplifies to:

2x - 14y + 6z

б) -7(5 - a - 4b)

To expand the expression -7(5 - a - 4b), we distribute the -7 to each term inside the parentheses:

-7 * 5 + (-7) * (-a) + (-7) * (-4b)

This simplifies to:

-35 + 7a + 28b

в) (c - 8d + 6b) • (-1.2)

To expand the expression (c - 8d + 6b) • (-1.2), we distribute the -1.2 to each term inside the parentheses:

-1.2 * c + (-1.2) * (-8d) + (-1.2) * 6b

This simplifies to:

-1.2c + 9.6d - 7.2b

г) -0.6x • (-5 + 3m - 1.4n)

To expand the expression -0.6x • (-5 + 3m - 1.4n), we distribute the -0.6x to each term inside the parentheses:

-0.6x * (-5) + (-0.6x) * 3m + (-0.6x) * (-1.4n)

This simplifies to:

3x + 1.8xm + 0.84xn

д) -p • (-x + 2y - 4.6)

To expand the expression -p • (-x + 2y - 4.6), we distribute the -p to each term inside the parentheses:

-p * (-x) + (-p) * 2y + (-p) * (-4.6)

This simplifies to:

px - 2py + 4.6p

е) -8 • (3.4a + 1.2b - 5.16c - 2.3)

To expand the expression -8 • (3.4a + 1.2b - 5.16c - 2.3), we distribute the -8 to each term inside the parentheses:

-8 * 3.4a + (-8) * 1.2b + (-8) * (-5.16c) + (-8) * (-2.3)

This simplifies to:

-27.2a - 9.6b + 41.28c + 18.4

I hope this clarifies the expansion of the given expressions. Let me know if you have any more questions!