Question

answer with steps pls option c isn't right​

Answer 1

AnswEr-:

• $\underline{\boxed {\mathrm {\blue{ Factors \:are\:-:(4x + 5) ( 4x + 5)} }}}$
• $\underline{\boxed {\mathrm {\blue{ Option\:A\:or\:(4x+5) (4x+5) \:is \:correct. } }}}$

Explanation-:

• Find factors of -: 16x² + 40x + 25 .

$\dag{\mathrm { Solution \:of\: Question-:}}$

• $\longrightarrow {\mathrm { 16x^{2} + 40x + 25 }}$

$\sf{ By\:Using \:Sum-\:Product \:pattern-:}$

• $\longrightarrow {\mathrm { 16x^{2} + \purple{40x} + 25 }}$

• $\longrightarrow {\mathrm { 16x^{2} + \purple {20x + 20x} + 25 }}$

$\sf{ Now\:Finding \:Common-\:Factors \:from\:each\:term-:}$

• $\longrightarrow {\mathrm { 16x^{2} + \purple {20x + 20x} + 25 }}$

$\sf{ By\:Taking\:4\:as \:common\:in\:First \:term-:}$

• $\longrightarrow {\mathrm { \purple {16x^{2} + 20x} + 20x + 25 }}$

• $\longrightarrow {\mathrm { \purple {4x(4x + 5)} + 20 x + 25 }}$

$\sf{ By\:Taking\:5\:as \:common\:in\:Second \:term-:}$

• $\longrightarrow {\mathrm { 4x(4x + 5) + \purple{ 20 x + 25} }}$

• $\longrightarrow {\mathrm { 4x(4x + 5) + \purple{ 5 ( 4x + 5)} }}$

$\sf{ Now,\:Rewrite \:the\:factored\:term\:\:-:}$

• $\longrightarrow {\mathrm { 4x(4x + 5) + 5 ( 4x + 5) }}$

• $\longrightarrow {\mathrm { \purple{(4x + 5) ( 4x + 5)} }}$

Hence ,

• $\underline{\boxed {\mathrm {\blue{ Factors \:are\:-:(4x + 5) ( 4x + 5)} }}}$

• $\underline{\boxed {\mathrm {\blue{ Option\:A\:or\:(4x+5) (4x+5) \:is \:correct. } }}}$

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Answer 2

Answer:

I am not sure if you have any questions please feel free