What is expand (3x^2-4x)(7x^2-pix) ?

The solution to expand (3x^2-4x)(7x^2-pix) is 21x^4-3pix^3-28x^3+4pix^2

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expand (3x^2-4x)(7x^2-pix)

expand

(3 x^{2} - 4 x) (7 x^{2} - π x)

21 x^{4} - 3 π x^{3} - 28 x^{3} + 4 π x^{2}

Solution steps

(3 x^{2} - 4 x) (7 x^{2} - π x)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 3 x^{2}, b = - 4 x, c = 7 x^{2}, d = - π x

= 3 x^{2} \cdot 7 x^{2} + 3 x^{2} (- π x) + (- 4 x) \cdot 7 x^{2} + (- 4 x) (- π x)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 3 \cdot 7 x^{2} x^{2} - 3 π x^{2} x - 4 \cdot 7 x^{2} x + 4 π xx

Simplify

3 \cdot 7 x^{2} x^{2} - 3 π x^{2} x - 4 \cdot 7 x^{2} x + 4 π xx : 21 x^{4} - 3 π x^{3} - 28 x^{3} + 4 π x^{2}

= 21 x^{4} - 3 π x^{3} - 28 x^{3} + 4 π x^{2}

\frac{x - 4}{( x + 3 ) ( 2 x + 11 )}

e^{2 (t + c)}

\frac{1}{( s + 3 ) ^{2} ( s - 2 ) ^{2}}

\frac{1}{2 ( 4 x + 4 )}

\frac{5 ( x - 5 ) ^{2}}{3}

What is expand (3x^2-4x)(7x^2-pix) ?
The solution to expand (3x^2-4x)(7x^2-pix) is 21x^4-3pix^3-28x^3+4pix^2