Advertisements
Advertisements
Question
Find each of the following product:
5x2 × 4x3
Solution
To multiply algebraic expressions, we use commutative and associative laws along with the laws of indices. However, use of these laws are subject to their applicability in the given expressions.
In the present problem, to perform the multiplication, we can proceed as follows:
\[5 x^2 \times 4 x^3 \]
\[ = \left( 5 \times 4 \right) \times \left( x^2 \times x^3 \right)\]
\[= 20 x^5\]
(\[\because\] \[a^m \times a^n = a^{m + n}\])
Thus, the answer is \[20 x^5\].
APPEARS IN
RELATED QUESTIONS
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: a(b − c) + b(c − a) + c(a − b)
Multiply:
(x6 − y6) by (x2 + y2)
(2xy + 3y2) (3y2 − 2)
Simplify:
(5x + 3)(x − 1)(3x − 2)
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Solve the following equation.
2(x − 4) = 4x + 2
