Evaluate: $- 3 z^{2} (- 4 x^{2} + 10 z^{4} - 4 x z^{5})$

12 x^{2} z^{2} - 30 z^{6} + 12 z^{1} 0

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12 x^{2} z^{2} - 30 z^{8} + 12 z^{1} 0

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12 x^{4} - 30 z^{6} + 12 z^{7}

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12 x^{2} z^{2} - 30 z^{6} + 12 x z^{7}

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Solution

The correct option is D $12 x^{2} z^{2} - 30 z^{6} + 12 x z^{7}$
$- 3 z^{2} (- 4 x^{2} + 10 z^{4} - 4 x z^{5})$
Multiply each term of the parenthesis by the monomial keeping the addition or subtraction sign same.
$=$ $- 3 z^{2} . (- 4 x^{2}) + - 3 z^{2} .10 z^{4} - (- 3 z^{2}) .4 x z^{5}$
$=$ $12 x^{2} z^{2} - 30 z^{6} + 12 x z^{7}$

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Similar questions

State whether a given pair of terms is of like or unlike terms:

(i) $- 1, 100$
(ii) $- 7 x, \frac{5}{2} x$
(iii) $- 29 x, - 29 y$
(iv) $14 x y, 42 y x$
(v) $4 m^{2} p, 4 m p^{2}$
(vi) $12 x z, 12 x^{2} z^{2}$

State whether a given pair of terms is of like or unlike terms:

(i) $1, 100$
(ii) $- 7 x, \frac{5}{2} x$
(iii) $- 29 x, - 29 y$
(iv) $14 x y, 42 y x$
(v) $4 m^{2} p, 4 m p^{2}$
(vi) $12 x z, 12 x^{2} z^{2}$

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State True or False

(−2x+5y−3z)² = 4x²+25y²+9z²−20xy−30yz+12zx

\int_{0}^{1} (x^{3} - {4 x}^{2} + 3 x) d x - \int_{2}^{3} (x^{3} - 4 x^{2} + 3 x) d x

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