Simplify the following expression into the form a + bi, where a and b are rational numbers. -2i(7-4i)+(3++2i)

The simplified value of the given expression is -16-10i.

Step-by-step explanation:

The given expression is

We need to convert the expression into the form a + bi, where a and b are rational numbers.

Using distributive property we get

Combine like terms.

Substitute ,

Combine like terms.

Therefore the simplified value of the given expression is -16-10i.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)