Question

Find the Square of 2a +b

Answer 1

Step-by-step explanation:

(2a+b)^2

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

According to formula, (x+y)^2 = x^2 + y^2 + 2xy

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

Since, (2a)^2 = (2^2).(a^2)

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

Hence, Answer = 4(a^2) + (b^2) + 4ab

Answer 2

Answer:

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Step-by-step explanation:

(2a + b)^2

• Apply the perfect square formula; (a+b)^2 = a^2 + 2ab + b^2
• a = 2a and b=b, So substitute all the a in formula to 2a

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

• For (2a)^2, use the exponent rule (ab)^2 = a^2 * b^2

2^2 = 4

a^2 = a*a (a^2)

• For 2(2a)b,         *you can't use expansion of brackets here!!*

2*2 = 4

so, 2 * 2a = 4ab

ANS = 4a^2+4ab+b^2

$4a^{2} + 4ab + b^{2}$