Question

Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)^2 = x^2 − 2xy + y^2 to square your number without using a calculator.

Answer 1

Please help.

Answer 2

\(\Huge\color{#EB00FF}{\text{WELCOME}}\) \(\Huge\color{blue}{\text{TO}}\) \(\Huge\color{green}{\text{OPEN}}\)\(\Huge\color{purple }{\text{ STUDY!!!!!!!!!!!}}\) \(\Huge\heartsuit\)

Answer 3

Thank You :)

Answer 4

@Mehek14

Answer 5

I can choose 30=35-5

Answer 6

Ok, how can I work this problem out though? That's what I am having trouble with.

Answer 7

next, I can write this:
\[900 = {30^2} = {\left( {35 - 5} \right)^2} = {35^2} + {5^2} - 2 \times 35 \times 5=...\]

Answer 8

900 + 25 - 2 x 35 x 5 = 575, if I am supposed to evaluate

Answer 9

we have this step:
\[\begin{gathered}
{30^2} = {\left( {35 - 5} \right)^2} = {35^2} + {5^2} - 2 \times 35 \times 5 = \hfill \\
\hfill \\
= 1225 + 25 - 350 = ...? \hfill \\
\end{gathered} \]

Answer 10

1225 + 25 -350 = 900.. Which is 30^2

Answer 11

that's right!

Answer 12

Thank you. :)

Answer 13

:)