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Simplify the following algebraic expressions using the perfect square trinomial formula: (x+5)2 and (x-10)2

May 7, 2026Mathematics

ScanSolve AI Answer

Answer

(x+5)^2 = x^2 + 10x + 25

(x-10)^2 = x^2 - 20x + 100

8 steps

Here's how to simplify the expressions using the given method:

3.2.1 $(x+5)^2$

Square the first term.
$x^2$
$2 \times$ the product of the two terms in the bracket.
$2 \times x \times 5 = 10x$
Square the last term.
$5^2 = 25$
Write the answer.
$(x+5)^2 = \boxed{x^2 + 10x + 25}$
3.2.2 $(x-10)^2$
Square the first term.
$x^2$
$2 \times$ the product of the two terms in the bracket.
$2 \times x \times (-10) = -20x$
Square the last term.
$(-10)^2 = 100$
Write the answer.
$(x-10)^2 = \boxed{x^2 - 20x + 100}$

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