Question

FACTORSIE THE FOLLOWING EXPRESSIONS:
${a}^{2} + 8a + 16 \\ \\ {p}^{2} - 10p + 25 \\ \\ 25 {m}^{2} + 30m + 9$
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Answer 1

Step-by-step explanation:

(1) a² + 8a + 16

a² + 4a + 4a + 16

a(a+4)+4(a+4)

(a+4)(a+4)

a = - 4

(2) p² - 10p + 25

p² - 5p - 5p + 25

p(p-5)-5(p-5)

(p-5)(p-5)

p = 5

(3) 25m² + 30m + 9

25m² + 15m + 15m + 9

5m(5m+3) + 3(5m+3)

(5m+3)(5m+3)

m = - 3/5

Answer 2

Answer:

(1) a2+8a+16

a2 +4a+4a+16

a (a+4)+4 (a+4)

(a+4) (a+4)

a=4

(2) p2-10+25

p2-5p-5p+25

p (p-5) 5 (p-5)

(p-5)(p-5)

p=5

3 25m2 +15m+15m+9

5m(5m+3)+3(5m+3)

(5m +3) (5m+3)

m=3/5....