Question 72

In the following question, state whether the statement is True (T) or False (F):

Common factor of $12 a^{2} b^{2} + 4 a b^{2} - 32$ is 4.

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Solution

True
As we have,
$12 a^{2} b^{2} + 4 a b^{2} - 32 = 2 \times 2 \times 3 \times a \times a \times b \times b + 2 \times 2 \times a \times b \times b - 2^{2} \times 2^{3}$
$= 4 (3 a^{2} b^{2} + a b^{2} - 8)$
Thus, the common factor is 4.

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Question 72 In the following question, state whether the statement is True (T) or False (F): Common factor of 12a2b2+4ab2−32 is 4.

True As we have, 12a2b2+4ab2−32=2×2×3×a×a×b×b+2×2×a×b×b−22×23 =4(3a2b2+ab2−8) Thus, the common factor is 4.

Question 72

In the following question, state whether the statement is True (T) or False (F):

Common factor of $12 a^{2} b^{2} + 4 a b^{2} - 32$ is 4.

True
As we have,
$12 a^{2} b^{2} + 4 a b^{2} - 32 = 2 \times 2 \times 3 \times a \times a \times b \times b + 2 \times 2 \times a \times b \times b - 2^{2} \times 2^{3}$
$= 4 (3 a^{2} b^{2} + a b^{2} - 8)$
Thus, the common factor is 4.