Question

Write the following in the product form
i) 2x3y4z2
​

Answer 1

Step-by-step explanation:

We solve the given expression (2x+3y+4z)^2

as shown below:

(2x+3y+4z)^2

=(2x)^2+(3y)^2+(4z)^2+(2×2x×3y)+(2×3y×4z)+(2×4z×2x)

∵(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca)

=4x^2+9y^2+16z^2+12xy+24yz+16zx

Hence, (2x+3y+4z)^2

=4x^2+9y^2+16z^+12xy+24yz+16zx.

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