Question

Help me I'll be grateful of yours...

Answer 1

$<b><i>$
Heya

$\textbf{Question 32.}$

a/x + b/x + c/x + a/y + b/y + c/y

$= \frac{ay + by + cy + ax + bx + cx}{xy} \\ \\ = \frac{ax + ay + bx + by + cx + cy}{xy} \\ \\ = \frac{a(x + y) + b(x + y) + c(x + y)}{xy} \\ \\ = \frac{(x + y)(a + b + c)}{xy}$

$\textbf{Question 33.}$

(a + b)(x + 2) + (b + c)(x + 2) + (c + a)(x + 2)

= (x + 2)(a + b + b + c + c + a)

= (x + 2)(2a + 2b + 2c)

$\textbf{Question 34.}$

(a + b)(x + y - z) + (a + b)(y + z - x) + (a + b)(z + x - y)

= (a + b)(x + y - z + y + z - x + z + x - y)

= (a + b)(x + y + z)

$\textbf{Question 35.}$

a²bc(b + c) + b²ca(c + a) + c²ab(a + b)

= a²b²c + a²bc² + b²c²a + b²ca² + c²a²b + c²ab²

= (abc)(ab + ac + bc + ba + ca + cb)

= (abc)(2ab + 2bc + 2ca)

$\textbf{Question 36.}$

(a + b)(x + y) + c(x + y) + z(a + b + c)

= ax + ay + bx + by + cx + cy + az + bz + cz

= a(x + y) + b(x + y) + c(x + y)

= (x + y)(a + b + c)

Hope this helps you.