Question

Show that (3m+4n)2 –48mn= (3m-4n)2

Answer 1

Answer:

3m2 plus 4n2 plus 24mn minus 48mn

Answer 2

Answer:

$=> (3m + 4n)^{2} - 48mn$

Expand, (a + b)² = a² + + 2ab + b²

$=> (3m)^{2} + 2(3m)(4n) + (4n)^{2} - 48mn$

$=> {9m}^{2} + 6m(4n) + 16 {n}^{2} - 48mn$

$=> {9m}^{2} + 24mn + {16n}^{2} - 48mn$

• Simplify :]

$=> {9m}^{2} - 24mn + 16 {n}^{2}$

• (a - b)² = a² - 2ab + b² :]

$=> ({3m})^{2} - 2(3m)(4n)+ (4 {n})^{2}$

$=> \bf (3m - 4 {n})^{2} \: \: (shown)$