Find the value of 5x-2xx2-x3-x3-4x2- x2-12x-

The correct option is B 15x^4 12x 4 5x[2x(x^2+x^3) x^3] 4x^2÷ x^2 12x We need to follow BODMAS rule.= gt; Brackets (parts of a calculation inside b ...

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Byju's Answer

Standard VIII

Mathematics

Simplification of an Expression

Find the valu...

Question

Find the value of $5 x [2 x (x^{2} + x^{3}) - x^{3}] - 4 x^{2} \div x^{2} - 12 x$ .

15 x^{12} - 12 x - 4

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15 x^{4} - 12 x - 4

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15 x^{4} + 12 x - 4

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5 x^{4} - 12 x - 4

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Solution

The correct option is B $15 x^{4} - 12 x - 4$
$5 x [2 x (x^{2} + x^{3}) - x^{3}] - 4 x^{2} \div x^{2} - 12 x$
We need to follow BODMAS rule.
=> Brackets (parts of a calculation inside brackets always come first).
=> Orders (numbers involving powers or square roots).
=> Division.
=> Multiplication.
=> Addition.
=> Subtraction.
$=$ $5 x [2 x (x^{2} + x^{3}) - x^{3}] - 4 x^{2} \div x^{2} - 12 x$
$=$ $5 x [2 x^{3} + 2 x^{4} - x^{3}] - \frac{4 x^{2}}{x^{2}} - 12 x$
$=$ $5 x [x^{3} + 2 x^{4}] - 4 - 12 x$
$=$ $5 x^{4} + 10 x^{4} - 12 x - 4$
$=$ $15 x^{4} - 12 x - 4$

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Find the value of 5x[2x(x2+x3)−x3]−4x2÷x2−12x.

Find the value of $5 x [2 x (x^{2} + x^{3}) - x^{3}] - 4 x^{2} \div x^{2} - 12 x$ .