Question

evaluate (602)^2-(598)^2​

Answer 1

• $\sf{\bold{602}^{2}}\:-\:\sf{\bold{598}^{2}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf{602}^{2}\:-\:\sf{598}^{2}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf{602\:༝\:602}\:-\:\sf{598\:༝\:598}$

${ }$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{362,404}\:-\:\sf{357,604}$

${ }$

$\:\:\:\:\:\:\::\:\Longrightarrow\sf{\underline{\boxed{\bold{\sf{4,800}}}}}\:★$

Answer 2

Answer:

Your answer is 4,800

Step-by-step explanation:

There are two ways to solve this you can use the identity $(a+b)^{2} and (a-b)^{2}$

Like so,

$=(600+2)^{2} - (600-2)^2\\=360,000 + 4 + 2*600*2 - ( 360,000 +4 - 2*600*2)\\=360,000 + 4 + 2,400 - 360,000 - 4 + 2,400\\=4800$

Or use the identity, $a^{2} - b^{2} = (a + b)*(a - b)$

Like so,

$=(602)^{2} - (598)^{2} \\=(602+598) (602-598)\\=(1,200) * (4)\\=4,800$