Q. Factor the expression completely.−63x2−9Answer:
Identify Common Factor: Identify the common factor in both terms of the expression −63x2−9. Both terms have a common factor of −9 since −9 is a factor of −63 and itself.
Factor Out Common Factor: Factor out the common factor −9 from the expression.−63x2−9=−9(7x2+1)
Check Further Factoring: Check if the remaining expression 7x2+1 can be factored further.The expression 7x2+1 is a sum of squares and cannot be factored over the real numbers since it does not fit the difference of squares pattern a2−b2.
Write Final Factored Form: Write down the final factored form of the expression.The completely factored form of the expression is −9(7x2+1).