We have that
26*[(82³)^(1/2)]*[(62³)<span>^(1/2)]
we know that
</span>(82³)^(1/2)-----> 82√82
(62³)^(1/2)-----> 62√62
substitute
26*[82√82]*[62√62]------> (26*82*62)*(√82)*(√62)
(26*82*62)*(√82)*(√62)------> 132184*(√82)*(√62)
132184*(√82)*(√62)------> 132184*(√5084)
5084------> 1271*2²
√5084-----> √(1271*2²)-----> 2√1271
substitute
132184*(√5084)------> 132184*(2√1271)-----> 264368√1271
the answer is
264368√1271
The factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
<h3>Factoring quadratic expressions</h3>
From the question we are to factor the given quadratic expressions
y = x² +7x -2x - 14
y = x(x +7) -2(x +7)
y = (x -2)(x +7)
y = x² -9x +6x - 54
y = x(x -9) +6(x -9)
y = (x +6)(x -9)
y = x² +6x +2x +12
y = x(x +6) +2(x +6)
y = (x +2)(x +6)
y = x² -6x -5x +30
y = x(x -6) -5(x -6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = x² +9x -x -9
y = x(x +9) -1(x +9)
y = (x -1)(x +9)
y = (x +4)(x -4)
Hence, the factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
Learn more on Factoring quadratic expressions here: brainly.com/question/52959
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Extraneous Solutions maybe?