Question

(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve

Answer 1

`3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b`

`y (10 - y) + 3 (y - 2) = - y^2+13y - 6`

`2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36`

`3 (y - 3) + ( 8 - 6y + x) = -3y + x-1`

`a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc`

`5 (x - y + z) + (4x + 3y) =9x - 2y +5z`

Explanation:

Solving (i):

`3 (a + 5b) + a (a + 4)`

Open brackets

`3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a`

Collect like terms

`3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b`

`3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b`

Solving (ii)

`y (10 - y) + 3 (y - 2)`

Open bracket

`y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6`

Collect like terms

`y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6`

`y (10 - y) + 3 (y - 2) = - y^2+13y - 6`

Solving (iii)

`2 (8a - 5b) + 3 (5a - 12)`

Open bracket

`2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36`

Collect like terms

`2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36`

`2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36`

Solving (iv)

`3 (y - 3) + ( 8 - 6y + x)`

Open bracket

`3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x`

Collect like terms

`3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8`

`3 (y - 3) + ( 8 - 6y + x) = -3y + x-1`

Solving (v):

`a (a - 2b) + b (b + 2a - c)`

Open bracket

`a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc`

Collect like terms

`a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc`

`a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc`

Solving (vi)

`5 (x - y + z) + (4x + 3y)`

Open brackets

`5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y`

Collect like terms

`5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z`

`5 (x - y + z) + (4x + 3y) =9x - 2y +5z`