Question

10.-/1 pointsTGinterAlgHS 5.7.048.CMI Factor the polynomial. m2 n2+4m +4n Read I Watch It Talk to a Tutor 11.-/1 pointsTGInterAlgH5 5.7.055.TP Factor the sum of cubes. 343m3 m-n)(m O (7m-n) (7m2-Trnn + n2) o (7m -n) (49m2 -7mn +n2) mn - Need Help? Redit Talk to a Tuter 12.-/1 pointsTGInterAlgH5 5.7.059. Factor the difference of cubes. x3-Bys

Answer 1

10) Given $m^2-n^2+4m+4n$

=

=

Therefore, the factors of $m^2-n^2+4m+4n$ are (m-n+4) and (m+n).

11) Given $343m^3+n^3$

= $(7m)^3+n^3$

= $(7m+n)[(7m)^2-7m*n+n^2]$

= $(7m+n)(49m^2-7mn+n^2)$

12) Given $x^3-8y^6$

= $x^3-(2y^2)^3$

= $(x-2y^2)[x^2+x*2y^2+(2y^2)^2]$

= $(x-2y^2)(x^2+2xy^2+4y^4)$

The factors of $x^3-8y^6$ are $(x-2y^2)$ and $(x^2+2xy^2+4y^4)$ .