Splitting the Square

Algebra Level 1

Find an equivalent expression for $\large 36^2.$

Note: While you can do this on a calculator, try to work it out without one! This can generalize into a method for squaring numbers mentally.

(30 \times 42) + (2 \times 6)

(30 \times 42) + (6 \times 6)

(40 \times 42) - (6 \times 6)

(40 \times 42) - (2 \times 6)

(40 \times 42) - (2 \times 2)

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