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Step-by-step explanation:
a
(d^2-100)= (d^2-10^2)=(d+10)(d-10). {a^2-b^2=(a+b)(a-b)}
b
(x-3y)^2+12xy= (x^2 +9y^2-6xy)+12xy=x^2+9y^2+6xy
=(x+3y)^2.
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