How do I find the square of a binomial?

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How do I find the square of a binomial?

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Answer 1 · 2014-10-20T01:26:39

Finding the square of a binomial can be done by using the Distributive Property or FOIL. FOIL stands for First, Outer, Inner, Last. There also is a definition in which ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a + b)^2 = a^2 + 2ab + b^2$ or ${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$ $(a - b)^2 = a^2 - 2ab + b^2$

Example:
${(4 x + 3)}^{2}$ $(4x + 3)^2$
$(4 x + 3) (4 x + 3)$ $(4x + 3)(4x + 3)$

Distributive Property:
$4 x (4 x + 3) + 3 (4 x + 3)$ $4x(4x + 3) + 3(4x + 3)$
$16 x^{2} + 12 x + 12 x + 9$ $16x^2 + 12x + 12x + 9$
$16 x^{2} + 24 x + 9$ $16x^2 + 24x + 9$ (Proves the $a^{2} + 2 a b + b^{2}$ $a^2 + 2ab + b^2$ )

FOIL:
$(4 x + 3) (4 x + 3)$ $(4x + 3)(4x + 3)$
F: 4x4x
O: 4x3
I: 34x
L: 33
$4 x \cdot 4 x + 4 x \cdot 3 + 3 \cdot 4 x + 3 \cdot 3$ $4x*4x + 4x*3 + 3*4x + 3*3$
$16 x^{2} + 12 x + 12 x + 9$ $16x^2 + 12x + 12x + 9$
$16 x^{2} + 24 x + 9$ $16x^2 + 24x + 9$

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How do I find the square of a binomial?

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