Question

(d) 49qsquare-42qr+9rsquare​

Answer 1

Answer:

(7q-3r) (7q-3r)

Step-by-step explanation:

=(7q)^2-2*7q*3r+(3r)^2

=(7q-3r)^2

=(7q-3r)(7q-3r)

Answer 2

Answer:

STEP

1

:

Equation at the end of step 1

((49 • (q2)) - 42qr) + 32r2

STEP

2

:

Equation at the end of step

2

:

(72q2 - 42qr) + 32r2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 49q2 - 42qr + 9r2

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

Found a factorization : (7q - 3r)•(7q - 3r)

Detecting a perfect square :

3.2 49q2 -42qr +9r2 is a perfect square

It factors into (7q-3r)•(7q-3r)

which is another way of writing (7q-3r)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 :

(7q - 3r)2