Question

2a^3 +4a^2b+ 2ab^2 factorise​

Answer 1

Answer:

2a(a+b)(a+b)

Step-by-step explanation:

a(2a^2+4ab+2b^2)

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

a{2a(a+b)+2b(a+b)}

a(a+b)(2a+2b)

2a(a+b)^2

Answer 2

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

$\bf{ \sf{2a {}^{3} + 4a {}^{2}b + 2ab {}^{2} }} \\ \\ \bf{ \sf{ = 2a(a {}^{2} +2ab + b {}^{2} )}} \\ \\ \bf{ \sf{ = 2a(a + b) {}^{2} }} \\ \\ \bf{ \sf{ = \underline{ \red{ \: \: 2a(a + b)(a + b) \: \: }}}}$