Answered

what is the square of a binomial (b+4a)? 

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VilesXviz
(b+4a)²

by special product
(x+y)²=x²+2xy=y²

x = b
y = 4a

by substitution

(b+4a)² = b²+2(b)(4a)+(4a)²
(b+4a)² = b²+8ba+16a²

answer is b²+8ba+16a²
simply follow this steps:
1. Square the first term
2. multiply the exponent to the product inside the quantity: TAKE NOTE: the sign would depend.
3. square the last term.

for example:
a. (b+4a)

1. b^2
2. 2(4a*b) = 8ab
3. (4a)^2 = 16a^2

ANSWER: (b^2+8ab+16a^2)