Question

by using standard formulae the expand the following: (1/2x-3/2y)²​

Answer 1

Answer:

Given⤵

➡(1/2x-3/2y) ²

To find⤵

➡Expand using standard formula

Used formula⤵

⚫(a-b) ²=a²+b²-2ab or a²-2ab+b²

Solution⤵

➡(1/2x-3/2) ²

⚫Using formula (a-b) ²=a²-2ab+b²

$➡ { ( \frac{1}{2} x) }^{2} - 2 \times \frac{1}{2} x \times \frac{3}{2}y + {( \frac{3}{2}y) }^{2} \\ ➡ \frac{1}{4} {x}^{2} - \frac{3}{2}x y + \frac{9}{4} {y}^{2}$

✅Expand form of (1/2x-3/2y) ² is (1/4x²-3/2xy+9/3y²)

✔Extra points⤵

⚫(a+b) ²=a²+b²+2ab or a²+2ab+b²

⚫(a-b) ²= a²+b²-2ab or a²-2ab+b²

⚫(a+b) ³=a³+b³+3ab(a+b) or a³+b³+3a²b+3ab²

⚫(a-b) ³=a³-b³-3ab(a-b) or a³-b³-3a²b+3ab²

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Answer 2

Answer:

$Answer \: of \: question \: in \: attached \: pic.$

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