Question

$(t - 3) {}^{2} - (t + 3) {}^{2} is \: equals \: to$
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Answer 1

hey

here is ur answer

$\huge { \boxed{ \boxed{ \mathbb{ \mid \ulcorner ANSWER:-\urcorner \mid }}}}$

$(t-3)^2-(t+3)^2$

(a-b)²=a²-2ab+b²

(a+b)²=a²+2ab+b²

then the answer will be

(t-3)²-(t+3)²=t²+9-6t-t²-9-6t

$\{\boxed{\underline{ANSWER:-12t}}}}$

hope the answer helps

$\Huge\orange{\boxed{\boxed{\underline{Thanks}}}}$

Answer 2

$\bf{\large{\underline{\underline{Answer:-}}}}$

$\boxed{\bf{ {(t - 3)}^{2} - {(t + 3)}^{2} = -12t}}$

$\bf{\large{\underline{\underline{Explanation:-}}}}$

${(t - 3)}^{2} - {(t + 3)}^{2}$

We know that x² - y² = (x + y)(x - y)

Here x = (t - 3) , y = (t + 3)

By substituting the values in the identity we have

$=((t - 3) + (t + 3))((t - 3) - (t +3))$

$= (t - 3 + t + 3)(t - 3 - t - 3)$

$= (2t)(-6)$

$= -12t$

$= -12t$

$\boxed{\bf{ {(t - 3)}^{2} - {(t + 3)}^{2} = -12t}}$

$\bf{\large{\underline{\underline{Identity\:Used:-}}}}$

x² - y² = (x + y)(x - y)

$\bf{\large{\underline{\underline{Extra\:Info:-}}}}$

What is an Identity ?

An equation is called an identity if it is satisfied by any value that replaces its variables.

What is an equation?

An open sentence which contains is equal to sign is called an equation.

What is an open sentence?

A sentence for which we cannot decide whether it is true or false.

$\bf{\large{\underline{\underline{Some\:Important\:Identities:-}}}}$

[1] (x + y)² = x² + y² + 2xy

[2] (x - y)² = x² + y² - 2xy

[3] (x + y)(x - y) = x² - y²

[4] (x + a)(x + b) = x² + (a + b)x + ab