Question

expand (3x-2y+1)² please give reply ​

Answer 1

Answer:

------> (3x)^2+(-2y)^2+(1)^2+2(3x)(-2y)+2(-2y)(1)+2(1)(3x)

------> 9x^2+4y^2+1-12xy-4y+6x

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{9x²+4y²-12xy+6x-4y+1}}}}$

Step-by-step explanation:

Given expression is (3x-2y+1)²

It can be written as [3x+(-2y)+1]²

This is in the form of (a+b+c)²

Here a=3x ; b=-2y ; c=1

we know that

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

[3x+(-2y+1]²=(3x)²+(-2y)²+(1)²+2(3x)(-2y)+2(-2y)(1)

+2(1)(3x)

[3x+(-2y)+1]²=9x²+4y²+1-12xy-4y+6x

Therefore,

(3x-2y+1)²=9x²+4y²-12xy+6x-4y+1