Question

Factor the following polynomial:

1. 2a+2b+wa+wb
2. pr-2r-ap+2a
3. -3a+3+ax-x
4. 4y^2-49
5. x^2y^2-9c^2
6. x^2-20x+100
7. 9t^2+30t+25
8. x^3-64
9. 27w^3-125
10. x^2y-2x^2-y+2

Answer 1

Use the following properties.

\[cp + cq + dp + dq = c(p + q) + d(p+q) = (c+d)(p+q)\]
\[a^2-b^2 = (a+b)(a-b)\]
\[a^2 - 2ab + b^2 = {(a-b)}^2\]
\[a^2 + 2ab + b^2 = {(a+b)}^2\]
\[x^3-y^3 = (x-y)(x^2+xy+y^2)\]
\[x^3 + y^3 = (x+y)(x^2-xy+y^2)\]

Answer 2

1. 2(a + b ) + w(a + b) = (2 + w )(a + b)

use the properties given by @AkashdeepDeb

Answer 3

In Openstudy, we don't give answers, so don't expect us to do so. We are her to guide you with your questions. You need to do revision first before doing those exrcises/assignments.