Question

expand the following using sutabile identities
1. (–2 x + 3 y + 5 z ) ^2
2. (2 x - 3 y ) ^3​

Answer 1

1. (-2x + 3y +5z)²

Using (a+b+c)² = a² +b² + c² +2ab+ 2bc +2ca

(-2x)² + (3y)² + (5z)² + 2× (-2x)(3y) + 2(3y)(5z) + 2(5z)(-2x)

4x² +9y² + 25 z² -12xy + 30yz -20xz

2. (2x-3y)³

Using (a-b)³ = a³ -b³ -3a²b +3ab²

(2x)³ - (3y)³ - 3(2x)²(3y) + 3(2x)(3y)²

8x³ - 27y³ -9y(4x²) + 6x(9y²)

8x³ -27y³ -36x²y + 54xy²

Hope it helps you!

Answer 2

See the attachment photos.

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