Question

Which of the following is a PERFECT SQUARE TRINOMIAL?

a. 3y²+2y+1
b. m²+12m+36
c. 5x²+10x+25
d. 2x³+82x²+98

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Answer 1

Answer:

(b) m²+12m+36

Step-by-step explanation:

m²+12m+36 can be written as :-

${(m)}^{2} + 2.m.6 + {(6)}^{2}$

$= {(m + 6)}^{2}$

So, it is a perfect sense square trinomial.

Answer 2

Answer:

c. m² + 12m + 36

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Step-by-step explanation:

an easy formula for a perfect sqaure trinomial is

b² = 4ac

and c. m² + 12m + 36

matches it

if a = 1 , b = 12 , c = 36

b² = 144

4ac = 144

so,

b² = 4ac

144 = 144

LHS = RHS