Question

Solve (38)2+152+4 using identities

Answer 1

Answer:

2500

Step-by-step explanation:

$38^{2} +4+152$

=$38^{2} +2^{2}+2*38*2$

=$(38+2)^{2}$

= $50^{2}$

=$2500$

Answer 2

Answer:

$\large\underline{ \underline{ \red {your \: \: \: answer \implies \:1600}}}$

Step-by-step explanation:

$\bf\red{ {(38)}^{2} + 152 + 2} \\ \\ \bf\pink{using \: identities \mapsto {(a + b)}^{2} = {a}^{2} + 2 \times \: ab + {b}^{2} } \\ \\ \bf\blue{ \implies \: {(38)}^{2} + 2 \times 38 \times 2 + {(2)}^{2} } \\ \\ \bf\green{ \implies \: {(38 + 2)}^{2} } \\ \\ \bf\orange{ \implies \: {(40)}^{2} } \\ \\ \bf\red{ \implies \: 40 \times 40} \\ \\ \bf\purple{ \underline{ \boxed{ \bigstar \implies \: 1600 \: \: \bigstar}}}$

$\large\boxed{ \fcolorbox{red}{violet}{hope \: it \: help \: you} }$