(ii) 21 +3m + 4n by 51 - 6m - 4n
Answers
Answer:
:
n9
Simplify ——
3
Equation at the end of step
1
:
n9
(((21•(m7))•n)-((6•(m6))•(n7)))+((((9•(m5))•——)•m4)•n)
3
STEP
2
:
Equation at the end of step
2
:
n9
(((21•(m7))•n)-((6•(m6))•(n7)))+(((32m5•——)•m4)•n)
3
STEP
3
:
Dividing exponents:
3.1 32 divided by 31 = 3(2 - 1) = 31 = 3
Equation at the end of step
3
:
(((21•(m7))•n)-((6•(m6))•(n7)))+((3m5n9•m4)•n)
STEP
4
:
Multiplying exponential expressions :
4.1 m5 multiplied by m4 = m(5 + 4) = m9
Equation at the end of step
4
:
(((21•(m7))•n)-((6•(m6))•(n7)))+(3m9n9•n)
STEP
5
:
Equation at the end of step
5
:
(((21•(m7))•n)-((2•3m6)•n7))+3m9n10
STEP
6
:
Equation at the end of step
6
:
(((3•7m7) • n) - (2•3m6n7)) + 3m9n10
STEP
7
:
STEP
8
:
Pulling out like terms
8.1 Pull out like factors :
3m9n10 + 21m7n - 6m6n7 = 3m6n • (m3n9 + 7m - 2n6)
Trying to factor a multi variable polynomial :
8.2 Factoring m3n9 + 7m - 2n6
Try to factor this multi-variable trinomial using trial and error Final result :
3m6n • (m3n9 + 7m - 2n6)