What is expand 4(3m^2-7m+2)^2 ?

The solution to expand 4(3m^2-7m+2)^2 is 36m^4-168m^3+244m^2-112m+16

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expand 4(3m^2-7m+2)^2

expand

4 (3 m^{2} - 7 m + 2)^{2}

36 m^{4} - 168 m^{3} + 244 m^{2} - 112 m + 16

Solution steps

4 (3 m^{2} - 7 m + 2)^{2}

(3 m^{2} - 7 m + 2)^{2} = 9 m^{4} - 42 m^{3} + 61 m^{2} - 28 m + 4

= 4 (9 m^{4} - 42 m^{3} + 61 m^{2} - 28 m + 4)

Distribute parentheses

= 4 \cdot 9 m^{4} + 4 (- 42 m^{3}) + 4 \cdot 61 m^{2} + 4 (- 28 m) + 4 \cdot 4

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 9 m^{4} - 4 \cdot 42 m^{3} + 4 \cdot 61 m^{2} - 4 \cdot 28 m + 4 \cdot 4

Simplify

4 \cdot 9 m^{4} - 4 \cdot 42 m^{3} + 4 \cdot 61 m^{2} - 4 \cdot 28 m + 4 \cdot 4 : 36 m^{4} - 168 m^{3} + 244 m^{2} - 112 m + 16

= 36 m^{4} - 168 m^{3} + 244 m^{2} - 112 m + 16

det (A) (3, 8) B (6, - 5) C (- 2, 4)

\frac{1}{2} (1 - cos (6 θ))

(- x + 4)^{2}

\frac{2 \times ( x ^{2} - 3 z )}{2 y + 9}

What is expand 4(3m^2-7m+2)^2 ?
The solution to expand 4(3m^2-7m+2)^2 is 36m^4-168m^3+244m^2-112m+16