Final answer:
Yes, the expression V²-10v+25 can be factorised to give an expression of the form (v+a)² where a is an integer.
Step-by-step explanation:
Yes, the expression V²-10v+25 can be factorised to give an expression of the form (v+a)² where a is an integer.
To factorize the expression V²-10v+25, we need to find two numbers that multiply to give 25 and add up to -10. These numbers are -5 and -5. So, we can rewrite the expression as V²-5v-5v+25.
Now, we can group the terms and factor by grouping. We will factor V²-5v and -5v+25 separately to simplify the expression. The factored form of the expression is (V-5)(V-5), which simplifies to (V-5)².