Question

Simplify using suitable identity:
(3x + 5)^{2} - (3x -5)^{2}

Answer 1

Step-by-step explanation:

$(3x + 5)^{2} - {(3x - 5)}^{2} \\ \\ use \: formula \: {a}^{2} - { {b}^{2} } = (a + b)(a - b) \\ \\ (3x + 5 + 3x - 5)(3x + 5 - (3x - 5)) \\ \\ (6x)(10) \\ \\ 60x$

Requird ans....

Answer 2

Answer:

60x

Step-by-step explanation:

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(3x+5)²-(3x-5)²

Using identities,

(a+b)²= a²+2ab+b²

(a-b)²=a²-2ab+b²

We get,

(9x²+30x+25)-(9x²-30x+25)

9x²+30x+25-9x²+30x-25

9x² and 25 will be cancelled

hence,

30x+30x=60x