How do you find the product of ${(z - 5)}^{2}$ $(z-5)^2$ ?

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How do you find the product of ${(z - 5)}^{2}$ $(z-5)^2$ ?

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Answer 1 · 2018-04-09T14:39:14

Either FOIL or use the pattern, to obtain:
$z^{2} - 10 z + 25$ $z^2-10z+25$

Explanation:

You can either write ${(z - 5)}^{2}$ $(z-5)^2$ = (z-5)(z-5) and then multip[ly using FOIL, or you can remember the patterns we have for these squared binomials:
${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a+b)^2=a^2+2ab+b^2$
${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$ $(a-b)^2=a^2-2ab+b^2$

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How do you find the product of ${(z - 5)}^{2}$ $(z-5)^2$ ?

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