What is expand (2q^2r+2qr+4)(q^2-qr+12r) ?

The solution to expand (2q^2r+2qr+4)(q^2-qr+12r) is 2q^4r-2q^3r^2+22q^2r^2+2q^3r+4q^2+24qr^2-4qr+48r

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expand (2q^2r+2qr+4)(q^2-qr+12r)

expand

(2 q^{2} r + 2 q r + 4) (q^{2} - q r + 12 r)

2 q^{4} r - 2 q^{3} r^{2} + 22 q^{2} r^{2} + 2 q^{3} r + 4 q^{2} + 24 q r^{2} - 4 q r + 48 r

Solution steps

(2 q^{2} r + 2 q r + 4) (q^{2} - q r + 12 r)

Distribute parentheses

= 2 q^{2} r q^{2} + 2 q^{2} r (- q r) + 2 q^{2} r \cdot 12 r + 2 q r q^{2} + 2 q r (- q r) + 2 q r \cdot 12 r + 4 q^{2} + 4 (- q r) + 4 \cdot 12 r

Simplify

2 q^{2} r q^{2} + 2 q^{2} r (- q r) + 2 q^{2} r \cdot 12 r + 2 q r q^{2} + 2 q r (- q r) + 2 q r \cdot 12 r + 4 q^{2} + 4 (- q r) + 4 \cdot 12 r : 2 q^{4} r - 2 q^{3} r^{2} + 22 q^{2} r^{2} + 2 q^{3} r + 4 q^{2} + 24 q r^{2} - 4 q r + 48 r

= 2 q^{4} r - 2 q^{3} r^{2} + 22 q^{2} r^{2} + 2 q^{3} r + 4 q^{2} + 24 q r^{2} - 4 q r + 48 r

x^{2} \cdot (- 2) x

(2 y^{3} + 5) (y^{3} + 6 y)

1 + \frac{1}{\frac{3}{2}}

f (a + h) - f (a)

k + k

What is expand (2q^2r+2qr+4)(q^2-qr+12r) ?
The solution to expand (2q^2r+2qr+4)(q^2-qr+12r) is 2q^4r-2q^3r^2+22q^2r^2+2q^3r+4q^2+24qr^2-4qr+48r