Question

Factorize fully 25 + 9k² – 30k

Answer 1

Answer:

9k²-30k + 25

9k²-(15+15)k +25

9k²-15k-15k + 25

3k(3k-5) - 5(3k - 5)

(3k -5) ( 3k-5)

Therefore, k = 5/3

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Answer 2

${\bold{\blue{\boxed{\bf{Question}}}}}$

Factorize fully 25 + 9k² – 30k

${\bold{\blue{\boxed{\bf{Solution}}}}}$

$\sf\implies 25 + 9k^2 - 30k$

$\sf\implies 25 - 30k + 9k^2$

$\sf\implies 5^2 - 2\times 5 \times 3k + (3k)^2$

${\bold{\overline{\underline{\sf {\red{x^2 - 2xy + y^2 = (x+y)^2}}}}}}$

$\sf\implies(5 + 3k)^2$

${\bold{\blue{\boxed{\bf{\dag(5+3k)^2}}}}}$

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