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Multiplication of Monomials

5x2× 4x3

Question

Simplify: $5 x^{2} \times 4 x^{3}$

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Solution

$5 x^{2} \times 4 x^{3} = 5 \times 4 \times x^{2} \times x^{3} = 20 x^{2 + 3} [∵ x^{a} \times x^{b} = x^{a + b}] = 20 x^{5}$

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Similar questions

Q. What must be added to 5x³ − 2x² + 6x + 7 to make the sum x³ + 3x² − x + 1?
(a) 4x³ − 5x² + 7x + 6
(b) −4x³ + 5x² − 7x − 6
(c) 4x³ + 5x² − 7x + 6
(d) none of these

Q. 3. (4x3 -5x2 +6x +9) dx

Q. Multiply:
(2x² − 1) by (4x³ + 5x²)

\int_{1}^{2} (4 x^{3} - 5 x^{2} + 6 x + 9) d x

Q. The algebraic expression

4 x^{3} - 5 x^{2} + 3

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