Question

Write the following in expanded form .(-3x+y+z)^2

Answer 1

Answer:

9x^2+y^2+z^2-6xy+2yz-6xz

Step-by-step explanation:

given question is (-3x+y+z) ^2 it is in form of (a+b+c) ^2

(a+b+c) ^2=a^2+b^2+c^2+2ab+2bc+2ca so

(-3x+y+z)^2=(-3x)^2+y^2+z^2+2(-3x) (y) +2(y) (z) +2(z) (-3x)

=9x^2+y^2+z^2-6xy+2yz-6xz

THEREFORE YOUR ANSWER IS 9x^2+y^2+z^2-6xy+2yz-6xz.

I hope you are satisfied by my answer.

Answer 2

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

Here

a = –3 , b = y , c = z

then

2(–3)(y)+2(y)(z)+2(z)(–3)+(–3)²+(y)²+(z)²

(–6y)+(2yz)+(–6z)+(9)+(y²)+(z²)

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