Question

(ii) 21 +3m + 4n by 51 - 6m - 4n​

Answer 1

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)