What is (y^2+y+7)^2*c^2-(y^2+y+7)(c-3)+y^2+y+7 ?

The solution to (y^2+y+7)^2*c^2-(y^2+y+7)(c-3)+y^2+y+7 is c^2(y^2+y+7)^2+4y^2+4y-cy^2-cy-7c+28

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simplify (y^2+y+7)^2*c^2-(y^2+y+7)(c-3)+y^2+y+7

simplify

(y^{2} + y + 7)^{2} \cdot c^{2} - (y^{2} + y + 7) (c - 3) + y^{2} + y + 7

c^{2} (y^{2} + y + 7)^{2} + 4 y^{2} + 4 y - c y^{2} - cy - 7 c + 28

Solution steps

(y^{2} + y + 7)^{2} c^{2} - (y^{2} + y + 7) (c - 3) + y^{2} + y + 7

= c^{2} (y^{2} + y + 7)^{2} - (y^{2} + y + 7) (c - 3) + y^{2} + y + 7

Expand

- (y^{2} + y + 7) (c - 3) : - c y^{2} + 3 y^{2} - cy + 3 y - 7 c + 21

= c^{2} (y^{2} + y + 7)^{2} - c y^{2} + 3 y^{2} - cy + 3 y - 7 c + 21 + y^{2} + y + 7

Group like terms

= c^{2} (y^{2} + y + 7)^{2} + 3 y^{2} + y^{2} + 3 y + y - c y^{2} - cy - 7 c + 21 + 7

Add similar elements:

3 y^{2} + y^{2} = 4 y^{2}

= c^{2} (y^{2} + y + 7)^{2} + 4 y^{2} + 3 y + y - c y^{2} - cy - 7 c + 21 + 7

Add similar elements:

3 y + y = 4 y

= c^{2} (y^{2} + y + 7)^{2} + 4 y^{2} + 4 y - c y^{2} - cy - 7 c + 21 + 7

Add the numbers:

21 + 7 = 28

= c^{2} (y^{2} + y + 7)^{2} + 4 y^{2} + 4 y - c y^{2} - cy - 7 c + 28

5 - 2 x^{5.2} x^{5}

(a) (- z)^{5} \cdot (5 z^{6})

- 12 (- 2 - 4 x)

1.2756 i + 1.9135 j + 3.1891 k

\frac{( a ^{2} + x ^{2} )}{( a ^{2} - x ^{2} )}

What is (y^2+y+7)^2*c^2-(y^2+y+7)(c-3)+y^2+y+7 ?
The solution to (y^2+y+7)^2*c^2-(y^2+y+7)(c-3)+y^2+y+7 is c^2(y^2+y+7)^2+4y^2+4y-cy^2-cy-7c+28