Multiply the polynomials using a special product formula. Express the answer as a single polynomial in standard form.
-$( x - 5 ) ^ { 2 }$
A) $x + 25$
B) $25 x ^ { 2 } - 10 x + 25$
C) $x ^ { 2 } - 10 x + 25$
D) $x ^ { 2 } + 25$

Question

Quizplus · Accepted Answer

The correct formula for squaring a binomial is $(a - b)^2 = a^2 - 2ab + b^2$. Applying this to $(x - 5)^2$, we get $x^2 - 2(x)(5) + 5^2 = x^2 - 10x + 25$.

Multiply the Polynomials Using a Special Product Formula (x−5)2( x - 5 ) ^ { 2 }(x−5)2

Multiply the Polynomials Using a Special Product Formula $( x - 5 ) ^ { 2 }$