Question

(3x + 5)^2 – (3x – 5)^2

Answer 1

Step-by-step explanation:

Let's simplify step-by-step.

(3x+5)2−(3x−5)2

Distribute:

=9x2+30x+25+−9x2+30x+−25

Combine Like Terms:

=9x2+30x+25+−9x2+30x+−25

=(9x2+−9x2)+(30x+30x)+(25+−25)

=60x

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Answer 2

Answer:

$= (3x + 5) ^{2} - {(3x - 5)}^{2} \\ \\ = ( {(3x)}^{2} + {5}^{2} + 2(3x \times 5)) - ( {(3x)}^{2} + {5}^{2} - 2(3x \times 5)) \\ \\ = (9 {x}^{2} + 25 + 2(15x)) - (9 {x}^{2} + 25 - 2(15x)) \\ \\ = (9 {x}^{2} + 25 + 30x) - (9 {x}^{2} + 25 - 30x) \\ \\ = 9 {x}^{2} + 25 + 30x - 9 {x}^{2} - 25 + 30x \\ \\ = 9 {x}^{2} - 9 {x}^{2} + 25 - 25 + 30x + 30x \\ \\ = 60x$