# Math Help - binomials

1. ## binomials

determine the factors of the following expressions:
(a)h(x+y) + (m+n) (x+y)

(c)x2 - 8x - 20
(d)5x2 + 17x + 6

2. a) h(x+y)+(m+n)(x+y) ( expand 1st )
hx + hy + mx + my + nx +ny (group all the x and y variable together)
hx + mx + nx + hy + my + ny ( factor out x and y )
x(h + m + n)+y(h + m + n)
(x + y)(h + m + n)

c) x2 - 8x - 20 ( Just factorise )
(x-10)(x+2)

Hope you can do qn d by now

3. Originally Posted by tester85
a) h(x+y)+(m+n)(x+y) ( expand 1st )
hx + hy + mx + my + nx +ny (group all the x and y variable together)
hx + mx + nx + hy + my + ny ( factor out x and y )
x(h + m + n)+y(h + m + n)
(x + y)(h + m + n)

c) x2 - 8x - 20 ( Just factorise )
(x-10)(x+2)

Hope you can do qn d by now
The easier way for a) is to notice that $(x+y)$ is a common factor.