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Sagot :
Expand (7x−2w−7)(4x+3w) by multiplying each term in the first expression by each term in the second expression.
7x(4x)+7x(3w)−2w(4x)−2w(3w)−7(4x)−7(3w)
Simplify:
Multiply x by x to get x^2.
7(4x^2)+7x(3w)−2w(4x)−2w(3w)−7(4x)−7(3w)
Simplify.
28x^2+21xw−2w(4x)−2w(3w)−7(4x)−7(3w)
Multiply w by w to get w^2.
28x^2+21xw−8wx−2(3w^2)−7(4x)−7(3w)
Simplify.
28x^2+21xw−8wx−6w^2−28x−21w
Reorder terms.
28x^2+21wx−8wx−6w^2−28x−21w
Add 21wx and −8wx to get 13wx.
28x^2+13wx−6w^2−28x−21w
Reorder 28x2 and 13wx.
13wx+28x^2−6w^2−28x−21w
Move 28x^2
13wx−6w^2+28x^2−28x−21w
Reorder 13wx and −6w^2.
−6w^2+13wx+28x^2−28x−21w
Move −28x.
−6w^2+13wx+28x^2−21w−28x
(7x-2w-7)(4x+3w) simplified----> −6w^2+13wx+28x^2−21w−28x
7x(4x)+7x(3w)−2w(4x)−2w(3w)−7(4x)−7(3w)
Simplify:
Multiply x by x to get x^2.
7(4x^2)+7x(3w)−2w(4x)−2w(3w)−7(4x)−7(3w)
Simplify.
28x^2+21xw−2w(4x)−2w(3w)−7(4x)−7(3w)
Multiply w by w to get w^2.
28x^2+21xw−8wx−2(3w^2)−7(4x)−7(3w)
Simplify.
28x^2+21xw−8wx−6w^2−28x−21w
Reorder terms.
28x^2+21wx−8wx−6w^2−28x−21w
Add 21wx and −8wx to get 13wx.
28x^2+13wx−6w^2−28x−21w
Reorder 28x2 and 13wx.
13wx+28x^2−6w^2−28x−21w
Move 28x^2
13wx−6w^2+28x^2−28x−21w
Reorder 13wx and −6w^2.
−6w^2+13wx+28x^2−28x−21w
Move −28x.
−6w^2+13wx+28x^2−21w−28x
(7x-2w-7)(4x+3w) simplified----> −6w^2+13wx+28x^2−21w−28x
so distribuete
(7x-2w-7)(4x+3w)=(7x-2w-7)(4x)+(7x-2w-7)(3w)=28x^2-8xw-28x+21xw-6w^2-21w
group like terms
-8xw+21xw=13xw
28x^2-6w^2-28x-21w+13xw
that cannot be simplified further unless you use complex stuf
then the simplified form is 28(x^2-x-0.214286(y^2+3.5y-2.1666666666xy))
(7x-2w-7)(4x+3w)=(7x-2w-7)(4x)+(7x-2w-7)(3w)=28x^2-8xw-28x+21xw-6w^2-21w
group like terms
-8xw+21xw=13xw
28x^2-6w^2-28x-21w+13xw
that cannot be simplified further unless you use complex stuf
then the simplified form is 28(x^2-x-0.214286(y^2+3.5y-2.1666666666xy))
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