Question

Find the product of (x 5)(x − 5). X2 − 10x 25 x2 10x 25 x2 − 25 x2 25.

Answer 1

Product of two polynomials can be done by distribution of multiplication over addition. The product of $(x+5)(x-5) = x^2 - 25$

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

$(x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25$

Thus,

The product of $(x+5)(x-5) = x^2 - 25$

Learn more about polynomial product here;

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