Question

QUESTION IS IN THE ATTACHMENT BOX.​

Answer 1

Question: a)

${\longmapsto} \: {\rm{ {x}^{2} + 6xy + 9 {y}^{2} }}$

${\rightarrow} \: {\red{\rm{\bold{( {a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }}}}$

${\longmapsto} \: {\rm{( {x)}^{2} + 2 \times x \times 3y + {(3y)}^{2} } }$

${\green{{\longmapsto} \: {\rm( {x + 3y)}^{2} }}}$

Question: b)

${\longmapsto} \: {\rm{25 {p}^{2} - 50pq + 25 {q}^{2} }}$

${\rightarrow} \: {\rm{\red{\bold{( {a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} }}}}$

${\longmapsto} \: {\rm{( {5p)}^{2} - 2 \times 5p \times 5q + ( {5q)}^{2} }}$

${\green{\longmapsto{\rm{( {5p - 5q)}^{2} }}}}$

Question: c)

${\longmapsto} \: {\rm{( {a + b)}^{2} - 4ab}}$

${\rightarrow} \: {\red{\rm{\bold{( {a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }}}}$

${\rightarrow} \: {\rm{\red{\bold{( {a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} }}}}$

${\longmapsto} \: {\rm{ {a}^{2} + 2ab + {b}^{2} - 4ab}}$

${\longmapsto} \: {\rm{ {a}^{2} + {b}^{2} + 2ab - 4ab}}$

${\longmapsto} \: {\rm{ {a}^{2} + {b}^{2} - 2ab}}$

${\green{\longmapsto{\rm{( {a - b)}^{2} }}}}$

The last question is not visible..

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