If p 2-12 p -32- p - a p - b then the value of a and b is-A- a-4- b-8B- a-2- b-6C- a-5- b-7D- a -10- b -2

The correct option is A a = 4, b = 8 p2 + 12p + 32 = p2 + 4p + 8p + 32 = p(p + 4) + 8(p + 4) = (p + 4)(p + 8) ...

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Standard VIII

Mathematics

Addition and Subtraction of Negative Numbers Using Algebra

If p 2+12 p +...

Question

If p² + 12p + 32 = (p + a)(p + b) then the value of a and b is:

a = 4, b = 8

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a = 5, b = 7

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a = 2, b = 6

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a = 10, b = 2

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Solution

The correct option is A
a = 4, b = 8

p² + 12p + 32

= p² + 4p + 8p + 32

= p(p + 4) + 8(p + 4)

= (p + 4)(p + 8)

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If p2 + 12p + 32 = (p + a)(p + b) then the value of a and b is:

The correct option is A a = 4, b = 8 p2 + 12p + 32 = p2 + 4p + 8p + 32 = p(p + 4) + 8(p + 4) = (p + 4)(p + 8)

If p² + 12p + 32 = (p + a)(p + b) then the value of a and b is:

The correct option is A
a = 4, b = 8

p² + 12p + 32

= p² + 4p + 8p + 32

= p(p + 4) + 8(p + 4)

= (p + 4)(p + 8)