Question
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication, $54$
| $\text{a}^2$ | $\text{2ab}$ | $\text{b}^2$ |
| $\ \ \ (5)^2\\=25\\ +\ { 4}$ | $2\times5\times4\\=40\\+\ \ 1$ | $\ \ \ (4)^2\\=16$ |
| $29$ | $41$ |
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| $\frac{\text { First monomial } \rightarrow}{\text { Second monomial } \downarrow}$ | $2x$ | $-5y$ | $3x^2$ | $-4xy$ | $7x^2y$ | $-9x^2y^2$ |
| $2x$ | $4x^2$ | - | - | - | - | - |
| $-5y$ | - | - | $-15x^2y$ | - | - | - |
| $3x^2$ | - | - | - | - | - | - |
| $-4xy$ | - | - | - | - | - | - |
| $7x^2y$ | - | - | - | - | - | - |
| $-9x^2y^2$ | - | - | - | - | - | - |