Question

How is the (24x +12)^2
$(a + b) { }^{2} = a ^{2} + 2ab + b ^{2}$
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

We have that $(24x+12)^2 = 144\cdot (4x^2+4x+1)$.

Step-by-step explanation:

As you pointed out, we have $(a+b)^2 = a^2+2ab+b^2$, where a and b are any real numbers. So we can take $a = 24x$ and $b = 12$.

Using the identity above, we have

$(24x+12)^2 = (24x)^2+2\cdot (24x)\cdot 12 + 12^2 = 24^2\cdot x^2+576x+144\\ \\= 576x^2+576x+144 = 144(4x^2+4x+1)$

As wished