Question

Xm+xn+my+ny
Factorise

Answer 1

(m+n)(x+y)

Explanation:

First, factor out the x from the first two terms and factor out the y from the last two terms:

x(m+n)+y(m+n)

Now, factorize (m+n) out from both numbers:

(m+n)(x+y)

Answer 2

The factorization of Xm+xn+my+ny is (m+n)(x+y).

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /) that represents a mathematical computation or relationship.

To factorize the expression, we can notice that both x and y appear in both terms.

We can factor out an x from the first term and a y from the second term, giving us:

Xm+xn+my+ny = x(m+n) + y(m+n)

We can then factor out (m+n) from the two remaining terms, giving us the final factorization: (m+n)(x+y)