169a2 – 52ab + 4b2 Factorise

Question

169a2 – 52ab + 4b2
Factorise

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Thành Đạt 5 years 2021-08-31T12:28:50+00:00 2 Answers 71 views 0

Answers ( )

  1. Maris
    0
    2021-08-31T12:30:03+00:00
    Reply

    Answer:

    (13a - 2b) {}^{2}

    explanation :

    =》

    169a {}^{2} - 52ab + 4b {}^{2}

    =》

    (13a) {}^{2} - (2 \times 13a \times 2b) + (2b) {}^{2}

    =》

    (13a - 2b) {}^{2}

    i hope it helped. .....

  2. trungdung22
    0
    2021-08-31T12:30:24+00:00
    Reply

    Answer:

    (13a – 2b)²

    Step-by-step explanation:

    169a² – 52ab + 4b² ← is a perfect square trinomial of the form

    (ax – b)² = a²x² – 2abx + b²

    Compare the coefficients of the squared terms

    a² = 169 ⇒ a = \sqrt{169} = 13

    b² = 4 ⇒ b = \sqrt{4 } = 2

    and – 2ab = – 2 × 13 × 2 = – 52 , then

    169a² – 52ab + 4b² = (13a – 2b)² ← in factored form

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