Question

Find the value of 16a Square - 24ab + 9b square if a = 7 and b=6​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(4a + 3b)2

Step-by-step explanation:

Step 1

Equation at the end of step 1

((16 • (a2)) + 24ab) + 32b2

STEP

2

:

Equation at the end of step

2

:

(24a2 + 24ab) + 32b2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 16a2 + 24ab + 9b2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (4a + 3b)•(4a + 3b)

Detecting a perfect square :

3.2 16a2 +24ab +9b2 is a perfect square

It factors into (4a+3b)•(4a+3b)

which is another way of writing (4a+3b)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Final result :

Final result : (4a + 3b)2