Question

8m ^ 2 * n + 3mn = 2n ^ 2 n ^ 2 - mn 2n * m ^ 2, 2mn - 3n ^ 2 - 9m 2n​

Answer 1

STEP

1

:

Equation at the end of step 1

((((3•(m2))•n)+(2m•(n2)))-(3m•(n2)))-(23m2•n)

STEP

2

:

Equation at the end of step

2

:

((((3•(m2))•n)+(2m•(n2)))-3mn2)-23m2n

STEP

3

:

Equation at the end of step

3

:

((((3•(m2))•n)+2mn2)-3mn2)-23m2n

STEP

4

:

Equation at the end of step

4

:

(((3m2 • n) + 2mn2) - 3mn2) - 23m2n

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

-5m2n - mn2 = -mn • (5m + n)

final answer

Final result :

-mn • (5m + n)

Answer 2

(1) using identity

(α-^)² = a² + b² - 2ab -> on LHS

3 3)² + 2 mn

16 m² + 9 9n² 36 - 2 (m) (²n)

16 m² + 9 9 1² 36 2 pm²m + 2 DAM

16 m

9

L

+

9 _n²

36.

Uaring indentity (a+b) ² = g²th ² + zab (a-b)² = a² + b² - 2ab

(M)

(upg + 3 g) ² - ( 4pg - ³4) ²

C

2 2 _16p² g ² + 9 g ² + 24 p q ²³ - (16p²q² +99² - 24pq²)

=

151²9² +99² + 24pq² = 165³ g ² = 49² + 24 pq ²

48 pq ²