#### Riot09

##### Member

Basically,im doing the excersices from the fist chapter of my 2u excell book for this year an theirs are few questions i'm stuck on.(working out and solutions are provided at the back but-these are tricky questions that i can't get.So please explain whats going on here step wise.Thnx in advance.

All the solutions are already here but i don't get some of the steps involved to them as these are the "difficult" questions toward the end.so please provide an explanation.Thnx in advance.

Note: ------ ^2= squared. e.g,8m^8=8m squared-----------

32.c simplify

8m^8n^6/12m^5n^9 =2m^3/3n^3

50.e factorise

a^3 b^7-a^4b^6=a^3b^6(b-a)

52.c factorise

m^2-3m+2mn-6n=m(m-3)+2n(m-3)

=(m-3)(m+2n)

56.c factorise

8-125k^3=2^3-125^3

=(2-5k)(4+10k+25k^2)

56.d factorise

64p^3+34q^3=(4p+7q)(16p^2-28pq+49q^2)

58.d factorise fully

m^4-16=(m^2-4)(m^2+4)

=(m-2)9m+2) (m^2+4)

58.e factorise fully

k^2-9+7km-21m=(k-3)(k+3)+7m(k-3)

=(k-3)(k+3+7m)

58.f factorise fully

pqr+3pr-5pq-15p=p(qr+3r-5q-15)

=p[r(q+3)-5(q+3)]

=p(q+3)(r-5)

All the solutions are already here but i don't get some of the steps involved to them as these are the "difficult" questions toward the end.so please provide an explanation.Thnx in advance.

Note: ------ ^2= squared. e.g,8m^8=8m squared-----------

32.c simplify

8m^8n^6/12m^5n^9 =2m^3/3n^3

50.e factorise

a^3 b^7-a^4b^6=a^3b^6(b-a)

52.c factorise

m^2-3m+2mn-6n=m(m-3)+2n(m-3)

=(m-3)(m+2n)

56.c factorise

8-125k^3=2^3-125^3

=(2-5k)(4+10k+25k^2)

56.d factorise

64p^3+34q^3=(4p+7q)(16p^2-28pq+49q^2)

58.d factorise fully

m^4-16=(m^2-4)(m^2+4)

=(m-2)9m+2) (m^2+4)

58.e factorise fully

k^2-9+7km-21m=(k-3)(k+3)+7m(k-3)

=(k-3)(k+3+7m)

58.f factorise fully

pqr+3pr-5pq-15p=p(qr+3r-5q-15)

=p[r(q+3)-5(q+3)]

=p(q+3)(r-5)

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