Question

factorise 50p2-72q2​

Answer 1

Answer:

2(5p - 6q)(5p + 6q)

Step-by-step explanation:

${50p}^{2} - {72q}^{2}$

Factor out 2.

$2( {25p}^{2} - {36q}^{2} )$

Consider 25p² - 36q². Rewrite 25p² - 36q² as (5p)² - (6q)². The difference of squares can be factored using the rule:

a² - b² = (a - b)(a + b)

$(5p - 6q)(5p + 6q)$

Rewrite the complete factored expression.

$2(5p - 6q)(5p + 6q)$

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