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Multiply the first terms of each binomial.

May 7, 2026Mathematics

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Answer

x^2 + 5x - 3x - 15 = x^2 + 2x - 15

(x-9)^2 = x^2 - 18x + 81

9 steps

Here's how to simplify the expressions:

4.1.1 $(x-3)(x+5)$

Multiply the first terms of each binomial.
$x \times x = x^2$
Multiply the outer terms.
$x \times 5 = 5x$
Multiply the inner terms.
$-3 \times x = -3x$
Multiply the last terms.
$-3 \times 5 = -15$
Combine all terms and simplify.
$x^2 + 5x - 3x - 15 = \boxed{x^2 + 2x - 15}$
4.1.2 $(x-9)^2$
Square the first term.
$x^2$
$2 \times$ the product of the two terms in the bracket.
$2 \times x \times (-9) = -18x$
Square the last term.
$(-9)^2 = 81$
Write the answer.
$(x-9)^2 = \boxed{x^2 - 18x + 81}$

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