Math, asked by sushant7315, 11 months ago

(2x + 5)^2 algebraic identites solve​

Answers

Answered by TheMist
28

Answer:

(a+b)^2= a^2+b^2+2ab

............= 2x^2+5^2+2(2x×5)

.............=4x^2+25+20x..

Answered by TRISHNADEVI
10

 \red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \:  \:  SOLUTION\:  \:  \red {\mid}}}}}}}} \:

 \bf{ \sf{ \:  \:  \: (2x + 5) {}^{2} }} \\  \\  \bf{ \sf{ = (2x) {}^{2} + 2 \times (2x) \times (5) + (5) {}^{2}  }} \\  \\   \bf{ \sf{ =  \underline{ \:  \:  \red{4x {}^{2} + 20x + 25 } \:  \: }}}

 \underline{ \underline{ \rm{\pink{ \:  \:  \: IDENTITY   \:  \:  \:  \: USED \:  \:  \: }}}}

  \boxed{ \boxed{\bf{ \red{(a + b) {}^{2}  = a {}^{2} + 2ab + b {}^{2}  }}}}

 \huge{ \underline{ \underline{ \bf{ \sf{ \red{ \:  \:OR \:  \:  }}}}}}

 \rm{(2x + 5) {}^{2} } \\  \\  \rm{ = (2x + 5)(2x + 5)} \\  \\  \rm{ = 2x(2x + 5) + 5(2x + 5)} \\  \\  \rm{ = 4x {}^{2} + 10x + 10x + 25 } \\  \\  \rm{ = \underline { \red{ \:  \: 4x {}^{2}  + 20x + 25 \:  \: }}}

Similar questions